A coin is tossed 5 times. Find the probability that all 5 tosses are tails.

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x.

The formula to calculate the probability of an event is as follows.

Probability(Event) = Favourable Outcomes/Total Outcomes = x/n

It is given that a coin is tossed 5 times

Total observations 2⁵ = 32

So the sample space is 5 tails {T, T, T, T, T}

It can occur only one time

So the required outcome is 1

P (5 tails) = 1/32

Therefore, the probability that all 5 tosses are tails is 1/32.

A coin is tossed 5 times. Find the probability that all 5 tosses are tails.

Summary:

A coin is tossed 5 times. The probability that all 5 tosses are tails is 1/32.