Question

Robin hood has captured three purses of money. The first purse holds two silver pieces, the second purse holds two gold pieces and the third holds one silver piece and one gold piece. You randomly choose a purse and pull out one coin. it is a silver piece- what is the probability that the other coin in the bag is also silver

Answer 1

The first purse holds two silver pieces, the second purse holds two gold pieces and the third purse holds one silver piece and one gold piece. You randomly choose a ...

Answer 2

Answer:  Probability that the other coin in the bag is also silver is $\frac{1}{3}$

Step-by-step explanation:

Since we have given that

Number of purses = 3

In First purse,

Number of silver pieces = 2

In Second purse,

Number of silver pieces = 1

Number of gold pieces = 1

In third purse,

Number of gold pieces = 2

According to question, He choose a purse, and pull out one coin.

and it is a silver piece.

And the probability that the other coin in the bag is also silver.

Means the bag should be the first purse, as we know that it has only 2 silver pieces. This can happen only if he chooses first purse.

Probability of choosing the first purse is given by

$\frac{\text{Number of favorable outcomes}}{\text{ Total number of outcomes}}\\\\=\frac{1}{3}$

Hence, Probability that the other coin in the bag is also silver is $\frac{1}{3}$