# what is the probability that with three flips of a coin all three flips will be the same?

## Question: What is the probability that with three flips of a coin all three flips will be the same?

Probability defines the likelihood of occurrence of an event

## Answer: The probability that with three flips of a coin all three flips will be the same is 1/4

Let's look into all the possible outcomes on three flips of a coin

## Explanation:

We know that,

**Probability of an event (E) = Number of favorable outcomes / Total number of outcomes**

Let, H = Heads, T = Tails

Possible outcomes:

(H,H,H), (H,H,T), (H,T,H), (H,T,T), (T,H,H), (T,H,T), (T,T,H), (T,T,T)

Total number of outcomes = 8

Number of outcomes that gives the same results in all the three flips of a coin = 2

i.e, (H,H,H), (T,T,T)

Thus, number of favorable outcomes = 2

Probability of getting the same results in all the three flips = Number of favorable outcomes / Total number of outcomes

= 2/8 = 1/4

### Thus, the probability that with three flips of a coin all three flips will be the same is 1/4

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