6. Probability without Equally Likely Outcomes
- Page ID
- 23259
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- Not Equally Likely, Example 1 (https://youtu.be/-bdSS663L_0)
- Not Equally Likely, Example 2 (https://youtu.be/RA2MQlZ0ZhI)
- Not Equally Likely, Example 3 (https://youtu.be/lZTCHibh6O0)
- Disjoint Events (https://youtu.be/sPEPKUww8_o)
- Not Equally Likely, Example 4 (https://youtu.be/PwjZ4FEQmZc)
- Not Equally Likely, Example 5 (https://youtu.be/AaGDWhCSMcI)
- Not Equally Likely, Example 6 (https://youtu.be/JmuiO9O668E)
- Not Equally Likely, Example 7 (https://youtu.be/bhu1B1htXO8)
Prework 6:
- Suppose there are some orange, red, and purple balls in a bag, but you don’t know how many of each. You reach in and grab one. If the chance of picking an orange is \(25\%\) and the chance of picking a red is \(37\%\), what is the probability that you pick either an orange or purple ball?
- Let \(S\) be the sample space for an experiment. Let \(S = \{O_1, O_2, O_3, O_4, O_5\}\). Assume that \(Pr[O_1] = 0.1\) and \(Pr[O_4] = 0.25\). Assume that \(O_2\) and \(O_3\) are equally likely and that \(O_5\) is three times as likely as \(O_2\). Find \(Pr[O_2]\) and \(Pr[O_5]\).
- Suppose that \(Pr[A] = 0.4\), \(Pr[B] = 0.6\), and \(Pr[A \cap B^c] = 0.16\). Determine \(Pr[A^c], Pr[A\cup B], Pr[A^c\cap B]\).