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,

i. a red balloon. 

ii. a blue balloon, 

iii. a green balloon.

Answer 1

Let the 2 red balloon 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

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

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

ii. Let B be the event that Pranali gets a blue balloon.

∴ The probability that Pranali gets a blue balloon is 1/3.

iii. Let C be the event that Pranali gets a green balloon.

∴ The probability that Pranali gets a green balloon is 4/9.