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Find the probability that a person fails the first time but passes the second?

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The probability that a person passes organic chemistry the first time he enrolls is .8 The probability that a person passes organic chemistry the second time he enrolls is .9 .

a) Find the probability that a person fails the first time but passes the second time.

B. Find the probability that a person fails both times.
asked Oct 16, 2015 in PRECALCULUS by egbush Rookie

2 Answers

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(a)

The probability of the person passes the organic chemistry first time is image.

The probability of the person passes the organic chemistry second time is image.

The probability of the person fails first time is image.

The probability of the person fails second time is image.

The probability that a person fails the first time but passes the second time is image.

The events image and image are independent events : image.

Substitute image and image.

image.

The probability that a person fails the first time but passes the second time is image.

answered Oct 17, 2015 by Sammi Mentor
0 votes

(b)

From part (a):

The probability of the person fails first time is image.

The probability of the person fails second time is image.

The probability that a person fails both times is image.

The events image and image are independent events : image.

image.

The probability that a person fails both times is image.

answered Oct 17, 2015 by Sammi Mentor

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