Question

In 50 tosses of a coin, tail appears 32 times. If a coin is tossed at random, what is the probability of getting a head?
(a) $\frac{1}{32}$

(b) $\frac{1}{18}$

(c) $\frac{16}{25}$

(d) $\frac{9}{25}$

Answer 1

(d) $\frac{9}{25}$

Explanation:
Total number of tosses = 50
Number of times tail appears = 32
So, the number of times head appears = 50 − 32 = 18
Let E be the event of getting a head.
P(getting a head) = P (E) = $\frac{\mathrm{Number}\mathrm{of}\mathrm{heads}\mathrm{coming}\mathrm{up}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{trials}}=\frac{18}{50}=\frac{9}{25}$