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Out of the 50 colleges in a cer- tain state, 25 are private, 15 offer engineering majors, and 5 are private colleges offering engineering majors. Find the probability that a college selected at random from the state (a) offers an engineering major. (b) offers an engineering major, given that it is public. (c) is private, given that it offers an engineering major. (d) is public, given that it offers an engineering major.

Sagot :

The probability that a college selected at random from the state are (a)  3/10, b- 2/5, c- 1/2  and d- 1/10.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

Out of the 50 colleges in a certain state, 25 are private, 15 offer engineering majors and 5 are private colleges offering engineering majors.

The probability that a college selected at random from the state (a) offers an engineering major.

= 15 / 50

= 3/10

The probability that a college selected at random from the state (b) offers an engineering major, given that it is public.

= 20 /50

= 2/5

The probability that a college selected at random from the state (c) is private, given that it offers an engineering major.

= 25/50

= 1/2

The probability that a college selected at random from the state (d) is public, given that it offers an engineering major.

= 5/50

= 1/10

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