Question

When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

Answer 1

The probability that the coin will land on the same side each time is 1/4.

Explanation:

Answer 2

The probability that the coin will land on the same side each time is 1/4.

Explanation:

It is given that a certain coin has equal probability of landing on either side.

H : The coin will land on heads

T : The coin will land on tails

`P(H)=P(T)=(1)/(2)`

We need to find the probability that it will land on the same side each time if it is tossed three times.

Probability = Three times heads + Three times tails

`Probability=P(H)P(H)P(H)+P(T)P(T)P(T)`

`Probability=((1)/(2))((1)/(2))((1)/(2))+((1)/(2))((1)/(2))((1)/(2))`

`Probability=(1)/(8)+(1)/(8)`

`Probability=(1+1)/(8)`

`Probability=(2)/(8)`

`Probability=(1)/(4)`

Therefore the probability that the coin will land on the same side each time is 1/4.