Question

A coin is tossed 100 times and the probability of getting a tail was found to be 0.6. How many times would a tail have appeared in the 100 times the coin was tossed?

• A. 50
• B. 60
• C. 45
• D. 40

Answer 1

The correct option is B 60

Number of trials = 100
The event in this case is a tail appearing on the coin.
Let the number of times a tail appeared be X.
$\therefore$ The number of trials where the event happened = X
We know, for an event E
P(E) = $\frac{\text{Number of trials in which the event happened}}{\text{Total number of trials}}$

Given, $P\left(E\right)=0.6$
$⟹\frac{\text{X}}{100}=0.6$
$⟹\text{X}=60$

Hence, a tail would have appeared 60 times.