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Three mangoes and three apples are in box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple is
  • a)
    2/3
  • b)
    3/5
  • c)
    1/3
  • d)
    4/5
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Three mangoes and three apples are in box. If two fruits are chosen at...
Concept:
If S is a sample space and E is a favourable event then the probability of E is given by:
P(E) = n(E)/n(S)
Calculation:
Total fruits = 3 + 3 = 6
Total possible ways = 6C2 = 15 = n(S)
Favourable ways = 3C1 × 3C1 = 9 = n(E)
∴ Required probability = 
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Community Answer
Three mangoes and three apples are in box. If two fruits are chosen at...
To find the probability that one fruit is a mango and the other is an apple, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total Number of Outcomes:
There are a total of 6 fruits in the box (3 mangoes and 3 apples). If we select any 2 fruits at random, there are a total of 6C2 = 15 possible outcomes.

Favorable Outcomes:
To have one mango and one apple, we can consider the following cases:
1. Selecting a mango first and an apple second: There are 3 ways to select a mango and then 3 ways to select an apple.
2. Selecting an apple first and a mango second: There are 3 ways to select an apple and then 3 ways to select a mango.

Therefore, the number of favorable outcomes is 3 * 3 + 3 * 3 = 18.

Probability Calculation:
The probability of an event is given by the ratio of favorable outcomes to total outcomes.

Probability = (Number of Favorable Outcomes) / (Number of Total Outcomes)
Probability = 18 / 15
Probability = 6 / 5

Simplifying the fraction, we get:
Probability = 3 / 5

Therefore, the correct answer is option B, 3/5.
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Three mangoes and three apples are in box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple isa)2/3b)3/5c)1/3d)4/5Correct answer is option 'B'. Can you explain this answer?
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Three mangoes and three apples are in box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple isa)2/3b)3/5c)1/3d)4/5Correct answer is option 'B'. Can you explain this answer? for SAT 2025 is part of SAT preparation. The Question and answers have been prepared according to the SAT exam syllabus. Information about Three mangoes and three apples are in box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple isa)2/3b)3/5c)1/3d)4/5Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three mangoes and three apples are in box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple isa)2/3b)3/5c)1/3d)4/5Correct answer is option 'B'. Can you explain this answer?.
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