Question

In a box there are two coins: a standard coin with head and tail and a 2-headed coin. You randomly pick one of the coins, toss it and see a head. What is the probability that the other side of this coin is a head?

Answer 1

Probability that the other side of this coin is a head = 0.5

Explanation:

Given that there are two coins: a standard coin with head and tail and a 2 - headed coin.

When tossing a randomly chosen coin once the sample space obtained will be :

• Head of a standard coin.

• Tail of a standard coin.

• Front Head side of 2-headed coin.

• Back Head side of 2-headed coin.

Now since we have to find the probability that the other side of this coin which is tossed is also a head which means probability of selecting a 2-headed coin.

From the above cases there are two outcomes which are in favour from total of four outcomes;

Hence, Probability that the other side of this coin is a head =
`(1)/(2)` = 0.5 .