Math, asked by reeza11, 9 months ago

In a tennis match the probability of reaching the next round by three Indian players are 1/4,2/5,3/7 respectively. What is the probability that only one will reach the next round?( No Indian player is playing with each other)​

Answers

Answered by ishwaryam062001
0

Answer:

The probability that only one of the three Indian players will reach the next round will be  16/140.

Question : What is the probability that only one will reach the next round?

Step-by-step explanation:

From the above question,

They have given :

In a tennis match the probability of reaching the next round by three Indian players are 1/4,2/5,3/7 respectively

Let A, B, and C be the three Indian players.

The probability that A will reach the next round is 1/4.

The probability that B will reach the next round is 2/5.

The probability that C will reach the next round is 3/7.

The probability that only one of the three Indian players will reach the next round is the probability that A will reach the next round, multiplied by the probability that B and C will not reach the next round:

P(A & !B & !C) = P(A) × P(!B) × P(!C)

P(A & !B & !C) = (1/4) × (4/5) × (4/7) = 16/140

The probability that only one of the three Indian players will reach the next round is (1/4) × (4/5) × (4/7) = 16/140.

For more such related questions : https://brainly.in/question/18722533

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