Can someone assist me with this (giving brainliest)

Explanation:

Define the two events as such

A = event of chosen to be in the play

B = event of getting the lead role

The probability of getting chosen in the play is 0.5, so P(A) = 0.5

Because getting a lead role means you must have been selected for the play, this means that event B depends entirely on event A. We can say

P(A and B) = 0.2

which is the same as P(B and A)

Therefore the conditional probability is

P(B given A) = P(B and A)/P(A)

P(B given A) = 0.2/0.5

P(B given A) = 2/5

P(B given A) = 0.4

You can replace each "given" with a vertical line to write P(B | A) instead of "P(B given A)". I used "given" because the vertical line could be easily mistaken for an uppercase letter i or a lowercase letter L.

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step-by-2step explanation: