Home
Class 12
MATHS
Three students Aa n dBa n dC are in a sw...

Three students `Aa n dBa n dC` are in a swimming race. `Aa n dB` have the same probability of winning and each is twice as likely to win as `Cdot` Find the probability that the `BorC` wins. Assume no two reach the winning point simultaneously.

Text Solution

Verified by Experts

The correct Answer is:
`3//5`

P(C ) = p, P(A) = 2p, P(B) = 2p
`therefore 5p = 1 or p = 1//5`
So, `P(B or C) = P(B) + P(C ) = (2)/(5) + (1)/(5) = (3)/(5)`
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY I

    CENGAGE ENGLISH|Exercise MCQ|54 Videos
  • PROBABILITY I

    CENGAGE ENGLISH|Exercise Comprehension|14 Videos
  • PROBABILITY I

    CENGAGE ENGLISH|Exercise Exercise 9.2|19 Videos
  • PROBABILITY

    CENGAGE ENGLISH|Exercise Comprehension|2 Videos
  • PROBABILITY II

    CENGAGE ENGLISH|Exercise MULTIPLE CORRECT ANSWER TYPE|6 Videos

Similar Questions

Explore conceptually related problems

Three students A, B and C are in a swimming race. A and B have the same probability of winning and each is twice as likely to win as C . Find the probability that the B or C wins. Assume no two reach the winning point simultaneously.

The probabilities that three children can win a race are 1/3,1/4 and 1/5 . Find the probability that any one can win the race.

A certain team wins with probability 0.7, loses with probability 0.2and ties with probability .1 the team plays three games. Find the probability that the team wins at least two of the games, but not lose.

Aa n dB participate in a tournament of best of 7 games. It is equally likely that either A wins or B wins or the game ends in a draw. What is the probability that A wins the tournament.

In a horse -race, the probabilities to win the race for three horses A,B and C are 1/4,1/5 and 1/6 respectively. Find the probability to win the race of any one horse.

Whenever horses a , b , c race together, their respective probabilities of winning the race are 0.3, 0.5, and 0.2 respectively. If they race three times, the pr4obability t hat the same horse wins all the three races, and the probability that a , b ,c each wins one race are, respectively. 8//50 ,9//50 b. 16//100 ,3//100 c. 12//50 , 15//50 d. 10//50 ,8//50

India and Australia play a series of 7 one-day matches. Each team has equal probability of winning a match. No match ends in a draw. If the probability that India wins atleast three consecutive matches can be expressed as (p)/(q) where p and q are relatively prime positive integers. Find the unit digit of p.

Suppose Aa n dB shoot independently until each hits his target. They have probabilities 3/5 and 5/7 of hitting the targets at each shot. Find probability that B will require more shots than Adot

If two switches S_1a n dS_2 have respectively 90% and 80% chances of working. Find the probabilities that each of eth following circuits will work.

A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he losed the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.