Question

A coin is tossed 1000 times with the following frequencies:

Head: 445,

Tail: 555

When a coin is tossed at random, what is the probability of getting (i) a head? (ii) a tail?

Answer 1

Total number of times a coin is tossed = 1000
Number of times a head comes up = 445
Number of times a tail comes up = 555

(i) Probability of getting a head = $\frac{\mathrm{Number}\mathrm{of}\mathrm{heads}}{\mathrm{Total}\mathrm{no}.\mathrm{of}\mathrm{trails}}=\frac{445}{1000}=0.445$

(ii) Probability of getting a tail = $\frac{\mathrm{Number}\mathrm{of}\mathrm{tails}}{\mathrm{Total}\mathrm{no}.\mathrm{of}\mathrm{trails}}=\frac{555}{1000}=0.555$