The probability that a freshman takes English or Math is 0.8. The probability of

Question

The probability that a freshman takes English or Math is 0.8. The probability of taking English is 0.5 and the probability of taking both English and Math is 0.4. What is the probability that a freshman will take Math? A survey shows that for all applicants to a certain college, the probability to be opted is 0 6 For those accepted, the probability that they will attend the college is 0.8 What is the probability that a randomly selected applicant ends up attending the College is 0.8 What is the probability that a randomly selected ends up attending the college? Draw five cards from 52. Find the probabilities that All 5 cards are spades. There are 3 spades and 2 diamonds. A11 five cards are of the same suit. They contain all 4 aces.

Explanation / Answer

1) LET PROBABILITY OF TAKING ENGLISH = P(A) = 0.5

PROBABILITY OF TAKING MATH = P(B)

GIVEN P(AUB) = 0.8

GIVEN P(A INTERSECTION B) = 0.4

P(AUB) = P(A)+P(B) - P(A INTERSECTION B)

0.8 = 0.5 + P(B) - 0.4

HENCE P(B) = 0.7

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