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) $\frac{1}{25}$

Answer 1

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