What is the probability of getting zero heads in five tosses?

Solution:

Probability of an event is the possibility of occurrence of that event among other possible events. There are various kinds of probability distributions like Binomial Distribution, Uniform Distribution etc. Various distributions are used for various kinds of problems.

Let H denotes the number of heads and T denotes the number of tails.

The total number of possibilities include: {H, H, T, T, T}, {H, H, H, H, T}, {H, H, H, T, T}, and so on. 

According to the formula, the total number of possibilities is 2ⁿ where n is the number of times the coin is tossed.

Here n = 5, hence, the total number of possibilities is 2⁵= 32.

Possibility of zero heads: {T, T, T, T, T}

Hence, the probability of getting zero heads in five tosses is 1/32.

What is the probability of getting zero heads in five tosses?

Summary:

The probability of getting zero heads in five tosses is 1/32.