# A coin is tossed 60 times and the tail appears 35 times. What is the probability of getting a head?

Question:

A coin is tossed 60 times and the tail appears 35 times. What is the probability of getting a head?

(a) $\frac{7}{12}$

(b) $\frac{12}{7}$

(c) $\frac{5}{12}$

(d) $\frac{1}{25}$

Solution:

(C) $\frac{5}{12}$

Explanation:
Total number of trials = 60
Number of times tail appears = 35

Number of times head appears = 60  35 = 25

Let E be the event of getting a head.

$\therefore P($ getting a head $)=P(E)=\frac{\text { Number of times head appears }}{\text { Total number of trials }}=\frac{25}{60}=\frac{5}{12}$

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