Question

A balloon vendor has 2 red, 3 blue and 4 green balloons. He wants to choose one of them at random to give it to Pranali. What is the probability of the event that Pranali gets, a red balloon

Answer 1

Given: Number of red balloon = 2

Number of blue balloon = 3

Number of green balloon = 4

Let S be the sample space.

∴ n(S) = Number of red balloon + Number of blue balloon + Number of green balloon 

= 2 + 3 + 4

= 9

Let A be the event of getting a red balloon.

Given: n(A) = 2

∴ `P(A) = (n(A))/(n(S))`

= `2/9`

Hence, the probability of the event that Pranali gets a red balloon is `2/9`.

Answer 2

Let the 2 red balloons be R₁, R₂, 

3 blue balloons be B₁, B₂, B₃ and 

4 green balloons be G₁, G₂, G₃, G₄.

∴ Sample space,

S = {R₁, R₂, B₁, B₂, B₃, G₁, G₂, G₃, G₄}

∴ n(S) = 9

Let A be the event that Pranali gets a red balloon.

∴ A = {R₁, R₂}

∴ n(A) = 2

∴ P(A) = `("n"("A"))/("n"("S"))`

∴ P(A) = `2/9`

∴ The probability that Pranali gets a red balloon is `2/9`