Question

A coin is tossed 60 times and the tail appears 35 times. In a random throw of a coin, 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

ANSWER:
(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) = Number of times head appears/Total number of trials = $\frac{25}{60}$ = $\frac{5}{12}$