Question

If a coin is tossed 2 times, what is the probability of getting at least one tail?

• A. $\frac{1}{4}$
• B. $\frac{1}{2}$
• C. $\frac{3}{4}$
• D. $1$

Answer 1

The correct option is C

$\frac{3}{4}$

Given, a coin is tossed 2 times.

Total possible outcomes = {HH, HT, TH, TT} (where H = Heads, T= Tails)

= 4

Number of favourable outcomes (getting at least one tail) = {HT, TH, TT}

= 3

Out of 4 possible outcomes, there are 3 favourable outcomes.

We have,

Probability of an event, P(E) = $\frac{\text{number of favourable outcomes}}{\text{total number of outcomes}}$

$\Rightarrow$ P (getting atleast one tail) = $\frac{3}{4}$

Therefore, the probability of getting atleast one tail is $\frac{3}{4}$