Question

A coin is tossed 500 times and we get
head: 285 times, tail: 215 times.
When a coin is tossed at random, what is the probability of getting
(i) a head?
(ii) a tail?

Answer 1

Total number of tosses = 500
Number of heads = 285
Number of tails = 215
(i) Let E be the event of getting a head.
P(getting a head) = P (E) = $\frac{\mathrm{Number}\mathrm{of}\mathrm{heads}\mathrm{coming}\mathrm{up}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{trials}}=\frac{285}{500}=0.57$

(ii) Let F be the event of getting a tail.
P(getting a tail) = P (F) = $\frac{\mathrm{Number}\mathrm{of}\mathrm{tails}\mathrm{coming}\mathrm{up}}{\mathrm{Total}\mathrm{number}\mathrm{of}\mathrm{trials}}=\frac{215}{500}=0.43$