Question

Deshawn has two bags of marbles. The first bag has 2 blue, 3 orange, and 5 red. The second bag has 4 pink, 10 blue, and 6 brown. If he pulls a marble out of each bag, what is the probability that he will pull out a blue marble from each bag

Answer 1

Answer: 0.1

Explanation:

Given

Bag-I has 2 blue,3 orange, 5 red

Bag-II has 4 Pink,10 blue, 6 brown

No of ways of choosing a blue marble from bag-I

`\Rightarrow ^2C_1`

Total no of ways of choosing a marble from bag-I

`\Rightarrow ^(10)C_1`

No of ways of choosing a blue marble from bag-II

`\Rightarrow ^(10)C_1`

Total no of ways of choosing a marble from bag-II

`\Rightarrow ^(20)C_1`

The probability that he will pull out a blue marble from each bag is

`\Rightarrow P=\text{Probability of pulling a blue marble from bag-I}* \text{Probability of pulling a blue out bag-II}`

`\Rightarrow P=(^2C_1)/(^(10)C_1)* (^(10)C_1)/(^(20)C_1)\\\\\Rightarrow P=(2)/(10)* (10)/(20)=(1)/(10)`