Question

What is the probability of getting all heads or all tails, when three coins are tossed simultaneously?

• A. 1/8
• B. 1/4
• C. 1/2
• D. 3/4

Answer 1

The correct option is B

1/4

When three coins are tossed simultaneously, there are 8 possible outcomes, which are (HHH), (HHT), (HTH), (THH), (HTT), (THT), (TTH), (TTT), where H is represents the head and T represents the tail.
Favourable outcomes of getting all heads or all tails are HHH and TTT.
We know that, Probability of an event E, P(E) =$\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$
Hence, the required probability = $\frac{2}{8}$ = $\frac{1}{4}$