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The probability of a cricket term winning match at Kanpur is 2/5 and hosing match at Delhi is 1/7 what is the Probability of the term winning atleast one match?
- a)3/35
- b)32/35
- c)18/35
- d)17/35
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The probability of a cricket term winning match at Kanpur is 2/5 and h...
B is correct.
Step-by-step explanation:
Probability( winning a match at Kanpur),P(WK) 
Probability( losing a match at Kanpur),P(LK)
Probability( losing a match at Delhi), P(LD)
Probability( winning a match at Delhi),P(WD)
The probability of the team winning at least one match,
P( team winning at least one match ) =1 - P(Losing both math)
Probability( losing a match at Kanpur),P(LK)
Probability( losing a match at Delhi), P(LD)
Probability( winning a match at Delhi),P(WD)
The probability of the team winning at least one match,
P( team winning at least one match ) =1 - P(Losing both math)
Hence, the probability of the team winning at least one match is 
Most Upvoted Answer
The probability of a cricket term winning match at Kanpur is 2/5 and h...
Given probabilities:
- Probability of winning match at Kanpur = 2/5
- Probability of winning match at Delhi = 1/7
We need to find the probability of winning at least one match.
Method 1: Using Complementary Probability
The probability of not winning any match can be found as follows:
- Probability of not winning at Kanpur = 1 - 2/5 = 3/5
- Probability of not winning at Delhi = 1 - 1/7 = 6/7
The probability of not winning any match = Probability of not winning at Kanpur AND not winning at Delhi
= 3/5 * 6/7 = 18/35
Therefore, the probability of winning at least one match = 1 - Probability of not winning any match
= 1 - 18/35 = 17/35
Hence, the correct option is (b) 32/35.
Method 2: Using Addition Rule
- Probability of winning at Kanpur OR winning at Delhi = Probability of winning at Kanpur + Probability of winning at Delhi - Probability of winning at both places
= 2/5 + 1/7 - (2/5 * 1/7)
= 32/35
Therefore, the probability of winning at least one match = Probability of winning at Kanpur OR winning at Delhi
= 32/35
Hence, the correct option is (b) 32/35.
- Probability of winning match at Kanpur = 2/5
- Probability of winning match at Delhi = 1/7
We need to find the probability of winning at least one match.
Method 1: Using Complementary Probability
The probability of not winning any match can be found as follows:
- Probability of not winning at Kanpur = 1 - 2/5 = 3/5
- Probability of not winning at Delhi = 1 - 1/7 = 6/7
The probability of not winning any match = Probability of not winning at Kanpur AND not winning at Delhi
= 3/5 * 6/7 = 18/35
Therefore, the probability of winning at least one match = 1 - Probability of not winning any match
= 1 - 18/35 = 17/35
Hence, the correct option is (b) 32/35.
Method 2: Using Addition Rule
- Probability of winning at Kanpur OR winning at Delhi = Probability of winning at Kanpur + Probability of winning at Delhi - Probability of winning at both places
= 2/5 + 1/7 - (2/5 * 1/7)
= 32/35
Therefore, the probability of winning at least one match = Probability of winning at Kanpur OR winning at Delhi
= 32/35
Hence, the correct option is (b) 32/35.
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Community Answer
The probability of a cricket term winning match at Kanpur is 2/5 and h...
P(A) = 2/5 P (B') = 1/7 ~ P(B) = 1 - P(B') = 6/7
P(AUB) = P(A) + P(B) - P(AnB)
= 2/5. + 6/7 - [2/5 × 6/7].
{ A & B are independent events so P(AnB)= P(A)×P(B)}
= 44/35 - 12/35
= 32/35
P(AUB) = P(A) + P(B) - P(AnB)
= 2/5. + 6/7 - [2/5 × 6/7].
{ A & B are independent events so P(AnB)= P(A)×P(B)}
= 44/35 - 12/35
= 32/35
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The probability of a cricket term winning match at Kanpur is 2/5 and hosing match at Delhi is 1/7 what is the Probability of the term winning atleast one match?a)3/35b)32/35c)18/35d)17/35Correct answer is option 'B'. Can you explain this answer? for CA Foundation 2025 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The probability of a cricket term winning match at Kanpur is 2/5 and hosing match at Delhi is 1/7 what is the Probability of the term winning atleast one match?a)3/35b)32/35c)18/35d)17/35Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The probability of a cricket term winning match at Kanpur is 2/5 and hosing match at Delhi is 1/7 what is the Probability of the term winning atleast one match?a)3/35b)32/35c)18/35d)17/35Correct answer is option 'B'. Can you explain this answer?.
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