12 yellow balls and 14 red balls are placed in an urn. two balls are then drawn in succession without replacement. what is the probability that the first ball drawn is a red ball if the second ball drawn is yellow?

Probability that the first ball drawn is a red ball if the second ball drawn is yellow = 7/13

Number of yellow balls, N(Y) = 12

Number of red balls, N(R) = 14

Total number of balls, N(Total) = 12 + 14

N(Total) = 26

Probability of picking a yellow a ball

Pr(Y) = N(Y) / N(Total)

Pr(Y) = 12/26 = 6/13

Probability of picking a red ball

Pr(R) = N(R) / N(Total)

Pr(R) = 14/26 = 7/13

Probability of the two balls are red and yellow

Pr(RnY) = 6/13 x 7/13

Pr(RnY) = 42/169

Probability that the first ball drawn is a red ball if the second ball drawn is yellow

Pr(R|Y) = Pr(RnY)/P(Y)

Pr(R|Y) = 42/169 ÷ 6/13

Pr(R|Y) = 42/169 x 13/6

Pr(R|Y) = 7/13

Probability that the first ball drawn is a red ball if the second ball drawn is yellow = 7/13

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12 + 14 = 26 balls total

 probability of picking a red one first = 14/26 reduces to 7/13

 then a yellow ball second would be 12/25

 probability of both happening = 7/13 x 12/25 = 84/325

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

the correct answer is $7.38

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