If P(A∩B) = 0.296 and P(B) = 0.49, what should the value of P(A) be in order for the events A and B to be independent? Round your answer to two decimal places.
Added by Pamela S.
Step 1
In other words, knowing that B has occurred should not affect the probability of A occurring. Mathematically, this can be expressed as: 𝑃(𝐴|𝐵) = 𝑃(𝐴) We can use the formula for conditional probability to expand 𝑃(𝐴|𝐵): 𝑃(𝐴|𝐵) = 𝑃(𝐴∩𝐵) / 𝑃(𝐵) Substituting the Show more…
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