Question

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

P(Comes up heads) =
P(1"' flip comes up heads AND 2nd flip comes up heads)=

Answer 1

Probability of head occurring on flip of coin twice =
`(1)/(4)`

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 =
`(1)/(2)`

The probability that head occurs when the coin is flipped again =
`(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 =
`(1)/(2)` ×
`(1)/(2)` =
`(1)/(4)`

Step 3 :

Answer :

Probability of head occurring on flip of coin twice =
`(1)/(4)`