The tree diagram represents an experiment consisting of two trials.
P(A and C) = [?]
The probability defined as P(A and C) is the probability of P(A) × P(B) = (0.6 × 0.3) = 0.18
The probability of A ; P(A) from the tree diagram is 0.6
The probability of B ; P(B) from the tree diagram is 0.3
The probability, P(A and B) equals ;
P(A) × P(B) = 0.6 × 0.3 = 0.18
Therefore, probability of A and B is 0.18
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The probability of P(A and C) would be 0.18. To understand, check the calculations below.
The probability is recounted as the proportion of outcomes favorable upon the total possibilities.
What information do we have from the tree diagram:
P(A) = 0.6
P(B) = 0.3
so,
we know that,
P(A and C) = P(A) × P(B)
= 0.6 × 0.3
= 0.18
Therefore, the probability of A and C is 0.18.
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