Question

Anil is taking part in four competitions. If the probability of him winning any competition is 0.30, find the probability of him winning at least one competition.

Answer 1

Anil taking Part in 4 Competitions with probability of winning any competition = 0.3 then Probability of Winning atleast one competition = 0.7599‬  = (1 - 0.7⁴)

Step-by-step explanation:

probability of Anil winning any competition is 0.30

=> Probability of not winning (losing) any competition = 1  - 0.3 = 0.7

Probability of Anil winning atleast 1 competition

= 1 - Probability of not winning any competition

= 1  -  ⁴C₀(0.3)⁰(0.7)⁴

= 1 - 0.7⁴

= 1 - 0.2401

= 0.7599‬

Probability of Anil winning atleast 1 competition =  0.7599