Question

Find the probability of picking 2 blue marbles when 2 marbles are picked (with replacement) from a bag containing three blue and one yellow marbles

Answer 1

Answer: 0.5

Explanation:

Given

There are 3 blue and 1 yellow marble

The chance of picking two marble out of 3 is
`^3C_2`

The total no of ways of picking 2 marbles out of 4 is
`^4C_2`

Therefore, the probability of picking 2 blue marbles

`\Rightarrow P=(^3C_2)/(^4C_2)\\\\\Rightarrow P=(3* 2)/(4* 3)\\\\\Rightarrow P=(1)/(2)`