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Probability Questions & Answers

Q:
Let \( A \) and \( B \) be two independent cvents such that \( P(A)=0.3 \) and \( P(B)=0.2 \). Then \( P(\bar{A} \cup \bar{B})= \) None of the choices 0.94 0.76 0.994
Q:
If A and B are two disjoint events and \( \mathrm{P}(\mathrm{A} \cap \bar{B})=\frac{2}{5} \) and \( \mathrm{P}(\mathrm{A})=\frac{1}{5} \), then \( \mathrm{P}(\mathrm{B}) \) is equal to: \( 1 / 5 \) \( 3 / 5 \) \( 2 / 5 \) None of the choices
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3 The bag contains marbles of different colours R - Red; \( G \) - Green; \( B \) - Blue. One marble is picked randomly. Determine the probability that:
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121. A class of 8 students is to be divided into two groups with at least two in each group. How \( \mid \) many different pairs of groups can be made from class a?
Q:
\( * \) \( \begin{array}{l}\text { Given he tww independent evens } A \text { and } B \text { such hatat } P(A \cap B)=0.4 \& P(A)=3 P(B) \text {. } \\ \text { Then } P(B)= \\ 0.447 \\ 0.316 \\ 0.365 \\ 0.213\end{array} \)
Q:
We roll 4 identical dice once and note their readings. Is this a deterministic thought experiment? Find the sample space of the experiment.
Q:
At a museum cafe you can get a pre-made boxed lunch with a sandwich, fruit, and drink for only \( \$ 3 \). - The sandwiches are made with either turkey or ham. - The fruit is either an apple or an orange. - The drink is either bottled water or juice. The number of boxes they make for every possible combination is the same. If you randomly choose one of the boxed lunches without knowing the contents, what is the probability you will get a turkey sandwich and a bottle of water in your box? \( \frac{1}{8} \) \( \frac{1}{2} \) \( \frac{1}{4} \) \( \frac{1}{3} \)
Q:
3 A coin is tossed twice. a Complete this tree diagram to show all the possible outcomes. b What is the total number of outcomes? c Find the probability of obtaining:
Q:
Julio has two bags of gummy candies. One at a time, he randomly pulled 8 pineapple, 5 lime, and 7 strawberry candies out of the first bag and put them back each time. He also randomly pulled 11 mango, 3 tamarind, and 6 watermelon candies out of the second bag and put them back each time.Based on this information, what is the probability that Julio will select a strawberry candy from the first bag and a tamarind candy from the second bag the next time he takes a candy from each bag?Type a number in each box. □ /□
Q:
In a freshman high school class of 80 students, 22 students take Consumer Education, 20 students take French, and 4' students take both. Which equation can be used to find the probability, P, that a randomly selected student from this class takes Consumer Education, French, or both?P= 11/40 + 1/4 + 1/20P= 11/40 + 1/4 - 1/20P= 11/40 + 1/4 - 1/10P= 11/40 + 1/4
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