Question

15. In a group of 60 persons, 35 like coffee. Out of this group, if one person
is chosen at random, what is the probability that he or she does not
like coffee?
7
5
3
(a)
(b
(C)
12
12
12
5
(d)​

Answer 1

SOLUTION

GIVEN

• In a group of 60 persons, 35 like coffee.

• Out of this group one person is chosen at random

TO CHOOSE THE CORRECT OPTION

The probability that he or she does not like coffee

$\displaystyle \sf{(a) \: \: \: \frac{7}{12} }$

$\displaystyle \sf{(b) \: \: \: \frac{5}{12} }$

$\displaystyle \sf{(c) \: \: \: \frac{5}{7} }$

$\displaystyle \sf{(d) \: \: \: \frac{3}{12} }$

EVALUATION

Here it is given that In a group there are 60 persons

So the total number of possible outcomes = 60

Let A be the event that randomly choosen person does not like coffee

Now in the group of 60 persons 35 like coffee

So the total number of person does not like cofee

$= 60 - 35$

$= 25$

So the total number of possible outcomes for the event A is 25

Hence the required probability

$= \sf{P(A)}$

$\displaystyle \sf{ = \frac{25}{60} }$

$\displaystyle \sf{ = \frac{5}{12} }$

FINAL ANSWER

The correct option is

$\displaystyle \sf{(b) \: \: \: \frac{5}{12} }$

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