The probability that a randomly selected student is a freshman or female

foass77W 2021-02-05 Answered
The probability that a randomly selected student is a freshman or female
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FieniChoonin
Answered 2021-02-06 Author has 102 answers
Given:
There are 18 freshmen and 15 sophomores. Of the 18 freshmen, 10 are male, and of the 15 sophomores, 8 are male.
Formula used:
Probability for equally likely outcomes:
If an experiment has n equally likely outcomes, and if the number of ways in which an event E can occur is m, then the probability of E is,
P(E)= Number of ways that Ecan occur / Number of possible outcomes
=n(E)n(S)
where, S is the sample space of the experiment.
Let E and F be the two events, then the probability of union of two events is,
P(EF)=P(E)+P(F)P(EF).
Calculation:
The total students in the college algebra is 33 students. That is, n(S)=33.
The probability that a randomly selected student is a freshman or female is,
P (freshman or female) = P (freshman) + P (female) — P (freshman and female)
=n(freshman+n(female)n(freshman and female)n(S)
=18+15833=2533
Thus, the probability that a randomly selected student is a freshman or female is 2533.
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