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
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.
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