Question

What's the probability of flipping a coin twice and having it come up heads both times?

Answer 1

Probability of head occurring on flip of coin twice = $\frac{1}{4}$

Step-by-step explanation:

Step 1:

Given,

A coin is flipped 2 times. We need to find probability that head occurs both  times

Step 2 :

Probability that a head occurs when  a coin is flipped = $\frac{1}{2}$

The probability that  head occurs when the coin is flipped again = $\frac{1}{2}$

This is because the 2 events are independent i,e the result of  second event is not dependent on happening of the first event

Hence probability that head occurs on both the flip = $\frac{1}{2}$ × $\frac{1}{2}$ = $\frac{1}{4}$

Step 3 :

Answer :

Probability of head occurring on flip of coin twice = $\frac{1}{4}$