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.
<h3>What is the probability?</h3>
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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