Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the intersection contains 6. Number 4 is outside of the circles. Which probability is correct? P(A) = Three-fifths P(B) = StartFraction 16 Over 31 EndFraction P(A|B) = Two-sevenths P(B|A) = StartFraction 10 Over 21 EndFraction

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

The Venn diagram to calculate probabilities.

Circles A and B overlap.

Circle A contains 15, circle B contains 10, and the intersection contains 6.

Number 4 is outside the circles.

Then the total number of the event will be

Total event = 35

Then the probability of A will be

Favorable event = 15 + 6 = 21

P(A) = 21 / 35

P(A) = 2/5

Then the probability of B will be

Favorable event = 10 + 6 = 16

P(B) = 16 / 35

Then the probability of A|B will be

P(A|B) = (6/35)/(16/35)

P(A|B) = 3/8

Then the probability of B|A will be

P(B|A) = (6/35)/(21/35)

P(B|A) = 2/7

Then the correct option is A.

More about the probability link is given below.

https://brainly.com/question/795909

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