III gimnazjum

Matematyka z plusem 3

Matematyka

Liczy się matematyka 3

Matematyka 2001

Matematyka 2001. Zeszyt ćwiczeń cz. 1

Matematyka 2001. Zeszyt ćwiczeń cz. 2

Matematyka 3. Ćwiczenia podstawowe

Matematyka 3. Zeszyt zadań

Matematyka na czasie! 3

Matematyka wokół nas 3

Matematyka wokół nas 3. Zeszyt ćwiczeń cz. 1

Matematyka wokół nas 3. Zeszyt ćwiczeń cz. 2

Matematyka z plusem 3. Zbiór zadań 2001

Policzmy to razem 3

Liczba możliwych wyników - liczba wszystkich głów wynosi 100%, czyli jedną całość:
<object class="onesize" data="https://odrabiamy.pl/images/12c5cd29-0957-4438-b58f-afd02494721a_small.svg" type="image/svg+xml"></object> 
 
<object class="onesize" data="https://odrabiamy.pl/images/b6aa51f7-314a-42f6-bf37-a77b75623e35_small.svg" type="image/svg+xml"></object> 
Liczba interesujących nas wyników - z diagramu odczytujemy, że liczba mieszkańców Smokonii mających jedną głowę to 10% całości, czyli dziesiąta część setnych:
<object class="onesize" data="https://odrabiamy.pl/images/500be220-3c2c-4794-be97-bff27d1f9d81_small.svg" type="image/svg+xml"></object> 
<object class="onesize" data="https://odrabiamy.pl/images/3ba51900-5a97-418b-9073-f922fc68d7c9_small.svg" type="image/svg+xml"></object> 
Prawdopodobieństwo zajścia wynosi:
<object class="onesize" data="https://odrabiamy.pl/images/05b540d7-7f61-4118-bcff-359f470b657e_small.svg" type="image/svg+xml"></object>

Przedstawmy zaproponowany przez Jasia spos&oacute;b odpytywania w tabeli:
<table style="height: 317px; text-align: center;" border="2" width="342">
<tbody>
<tr style="height: 32.8551px;">
<td style="width: 53.2955px; height: 32.8551px;">&nbsp;</td>
<td style="width: 52.3864px; height: 32.8551px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95292/1.jpg" width="52" height="52" /></td>
<td style="width: 52.3864px; height: 32.8551px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95293/2.jpg" width="52" height="52" /></td>
<td style="width: 52.3864px; height: 32.8551px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95294/3.jpg" width="52" height="52" /></td>
<td style="width: 52.3864px; height: 32.8551px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95295/4.jpg" width="52" height="52" /></td>
<td style="width: 52.3864px; height: 32.8551px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95296/5.jpg" width="52" height="52" /></td>
<td style="width: 52.3864px; height: 32.8551px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95297/6.jpg" width="52" height="53" /></td>
</tr>
<tr style="height: 54px;">
<td style="width: 53.2955px; height: 54px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95292/1.jpg" width="57" height="57" /></td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/9ddb21b6-3655-477c-97de-d513e70d0785_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/0c687cc6-14ce-4d69-b650-f7e84f1b3652_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/e3995e79-ca43-4721-be72-6457affd4c60_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/2bb22d35-76e0-417f-9313-46df54c6cca6_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/4bd13bf7-80d1-4096-b648-9ef751f51441_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/6a87507e-292b-42e9-8c93-ced64ddc436a_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
</tr>
<tr style="height: 55px;">
<td style="width: 53.2955px; height: 55px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95293/2.jpg" width="57" height="56" /></td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/511fc475-cdd1-4888-aefa-a37958bdc0d6_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/9ac2360f-8c08-411f-b699-5ca9d96f3a41_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/8b5c5997-9ea2-4acd-b169-4b8b31e3e105_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/d7e83e86-7112-4d74-aa71-eac7e03bfaa7_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/804c347e-235a-47d5-9215-7e3a35fa34bd_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/e8f44ead-7286-4e0a-be1d-f712df8d2db5_small.svg" type="image/svg+xml"></object>&nbsp;</td>
</tr>
<tr style="height: 54px;">
<td style="width: 53.2955px; height: 54px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95294/3.jpg" width="55" height="55" /></td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/cc955daa-e780-4e15-8de3-6cd3fd0db59a_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/53cf2467-153c-4253-8d85-f7efd6a3af54_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/5f525a07-01f2-4679-8c78-8b61b22364a2_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/e0004811-edd1-41f6-956c-84cf24585d97_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/e13c9e70-c20b-4532-b452-5930c961fc38_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/13aa6520-a431-4278-b8a2-0d266e774fff_small.svg" type="image/svg+xml"></object>&nbsp;</td>
</tr>
<tr style="height: 54px;">
<td style="width: 53.2955px; height: 54px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95295/4.jpg" width="54" height="54" /></td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/3d02a8e4-a240-425b-89e6-d1190a1c56ce_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/fd19ac3f-bbd2-4e8f-b59d-a9e6f663b4b0_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/769277aa-dff1-4031-9cd5-cc16861e6441_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/9d9dcb6c-a552-4185-b62f-f3671bfd45f1_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/8c368101-3807-477f-805e-7d62319ca09f_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/2a53d9ac-cf49-4ccc-a25f-3d9c1990b234_small.svg" type="image/svg+xml"></object>&nbsp;</td>
</tr>
<tr style="height: 54px;">
<td style="width: 53.2955px; height: 54px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95296/5.jpg" width="55" height="55" /></td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/3b295353-d77e-43f0-afcb-8cc967af9c93_small.svg" type="image/svg+xml"></object>&nbsp;&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/54091584-74ea-49a1-90ee-2f56052b0db3_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/08e57a89-20c0-441a-b7be-4c7d7b3579ac_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/571b6b2f-90bb-4f29-a812-cc01ac7d5286_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/05a866e9-8663-45b9-b66a-162dc0837a6e_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 54px;"><object class="onesize" data="https://odrabiamy.pl/images/f68d6e10-3dee-46e3-b5b4-f2e7f7973f3d_small.svg" type="image/svg+xml"></object>&nbsp;</td>
</tr>
<tr style="height: 55px;">
<td style="width: 53.2955px; height: 55px;"><img class="img-responsive img-thumbnail dropzone-img" src="https://odrabiamy.pl//uploads/exercise_photo/image/95297/6.jpg" width="56" height="57" /></td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/ab42de7d-88eb-4a31-a04d-e9e033ee91bb_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/57fa3c22-6221-4273-9364-3a836d18084b_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/656688de-bdd7-4b6f-a243-efc5f5f9ca21_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/69f62623-ba58-407d-8c56-c65d46085c11_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/49362055-aab9-46aa-a1e4-ce35562d6b15_small.svg" type="image/svg+xml"></object>&nbsp;</td>
<td style="width: 52.3864px; height: 55px;"><object class="onesize" data="https://odrabiamy.pl/images/7650c740-57c2-4f9d-b35b-a87f9102765c_small.svg" type="image/svg+xml"></object>&nbsp;</td>
</tr>
</tbody>
</table>
Spos&oacute;b losowanie nie byłby sprawiedliwy, ponieważ w tabeli nie znajdziemy wszystkich liczb z zakresu od 1 do 36. Nie ma na przykład numeru 17 (numeru z dziennika Jasia), czyli prawdopodobieństwo, że zostanie wylosowany Jasiu wynosi:
<object class="onesize" data="https://odrabiamy.pl/images/23bb0e7e-b90a-4d40-a227-98f80980efd4_small.svg" type="image/svg+xml"></object>&nbsp;
<object class="onesize" data="https://odrabiamy.pl/images/83274a4f-35a2-4f97-a0ee-8aca6e26b62b_small.svg" type="image/svg+xml"></object>&nbsp;
Kasia zaprotestowała, ponieważ jeżeli spojrzymy na naszą tabelę to numer z dziennika Kasi (12) występuje aż 4 razy, czyli prawdopodobieństwo, że zostanie wylosowana Kasia wynosi:
<object class="onesize" data="https://odrabiamy.pl/images/5a5b42ef-d77c-47b2-aec6-1d6a865c41dd_small.svg" type="image/svg+xml"></object>&nbsp;
<object class="onesize" data="https://odrabiamy.pl/images/4bb6a365-56ff-478a-a49f-6936ca622b09_small.svg" type="image/svg+xml"></object>&nbsp;

Liczba możliwych wyników - całość klasy to 100%:
<object class="onesize" data="https://odrabiamy.pl/images/12c5cd29-0957-4438-b58f-afd02494721a_small.svg" type="image/svg+xml"></object> 
Liczba interesujących nas wyników - w klasie jest 55% dziewcząt, czyli chłopców w tej klasie jest 45%. Z tego wynika, że chłopcy zajmują czterdzieści pięć setnych części swojej klasy:
<object class="onesize" data="https://odrabiamy.pl/images/36abde73-9a05-43bf-81fd-5a6474ccdd1a_small.svg" type="image/svg+xml"></object>

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