Two friends A and B apply for a job in the same company. The chances of A…

2023

Two friends A and B apply for a job in the same company. The chances of A getting selected is 2/5 and that of B is 4/7. What is the probability that both of them get selected?

  1. A.

    8/35

  2. B.

    34/35

  3. C.

    34/30

  4. D.

    34/89

Attempted by 25 students.

Show answer & explanation

Correct answer: A

The correct answer is Option A: 8/35.

Step-by-Step Solution

  1. Identify the Probabilities:

    • Probability of A getting selected, P(A) = 2/5.

    • Probability of B getting selected, P(B) = 4/7.

  2. Determine the Relationship: Since the events (A getting selected and B getting selected) are independent, the probability of both events occurring together is the product of their individual probabilities.

  3. Calculate the Probability:

    • Probability (Both selected) = P(A) * P(B)

    • Probability = (2/5) * (4/7)

    • Numerator: 2 * 4 = 8

    • Denominator: 5 * 7 = 35

    • Result = 8/35.

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