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If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win?
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If the probability of a horse A winning a race is 1/6 and the probabil...
Solution:
Given:
Probability of horse A winning the race = 1/6
Probability of horse B winning the race = 1/4
To find:
Probability that one of the horses will win
Formula:
Probability of event A or B = Probability of A + Probability of B - Probability of A and B
P(A or B) = P(A) + P(B) - P(A and B)
Calculation:
Let's calculate the probability of both horses not winning the race first, and then subtract that from 1 to find the probability that one of the horses will win.
Probability of horse A not winning = 1 - 1/6 = 5/6
Probability of horse B not winning = 1 - 1/4 = 3/4
Probability of both horses not winning = Probability of horse A not winning x Probability of horse B not winning
P(A' and B') = (5/6) x (3/4) = 15/24
P(A' and B') = 5/8
Probability of one of the horses winning = 1 - Probability of both horses not winning
P(A or B) = 1 - P(A' and B')
P(A or B) = 1 - 5/8
P(A or B) = 3/8
Answer:
The probability that one of the horses will win is 3/8 or 0.375.
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If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win?
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If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win?.
If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the probability of a horse A winning a race is 1/6 and the probability of a horse B winning the same race is 1/4 ,what is the probability that one of the horses will win?.
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