given p(a) = 0.2, p(b) = 0.5, p(a | b) = 0.3, do the following. (a) compute p(a and b). (b)...
Question:
Given {eq}P(a) = 0.2, P(b) = 0.5, P(a | b) = 0.3 {/eq}, do the following.
(a) compute {eq}P(a \text{ and} \ b). {/eq}
(b) compute {eq}P(a \text{ or} \ b). {/eq}
Conditional Probability
Conditional probability is the probability of an event occurring based on the probability of another event occurring. For example, if we have the events {eq}A {/eq} and {eq}B {/eq}. The probability of {eq}A {/eq} given {eq}B {/eq} occurring is given by
$$P(A|B) = \frac{P(A \cap B)}{P(B)} $$
Answer and Explanation: 1
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View this answerWe are given that for two events {eq}a {/eq} and {eq}b {/eq}, the probability of {eq}a {/eq} occurring is {eq}P(a) = 0.2 {/eq}, the probability of...
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Chapter 19 / Lesson 5Learn what the conditional probability of an event occurring is. Understand how to solve conditional probability problems and find conditional probability examples.