99.0k views
5 votes
Given:

Probability of passing both English and Hindi: P(English and Hindi) = 0.5
Probability of passing neither: P(Neither) = 0.1
Probability of passing English: P(English) = 0.75
What is the probability of passing the Hindi examination?
(a) 0.45
(b) 0.65
(c) 0.75
(d) 0.9

User BlackHat
by
8.1k points

1 Answer

1 vote

Final answer:

The probability of passing the Hindi examination is 0.65 when calculated using the given probabilities of passing English, passing both, and passing neither.

Step-by-step explanation:

To find the probability of passing Hindi, we need to use the given probabilities. We know that the probability of passing both English and Hindi is P(English and Hindi) = 0.5, the probability of passing neither is P(Neither) = 0.1, and the probability of passing English is P(English) = 0.75. To find the probability of passing only Hindi, we can use the formula of the probability of the union of two events, which is P(A or B) = P(A) + P(B) - P(A and B).

In this case, P(English or Hindi) is equivalent to 1 - P(Neither), since either English or Hindi or both must be passed if not neither. Thus, P(English or Hindi) = 1 - 0.1 = 0.9.

Now substituting the values into the equation, we get:
0.9 = P(English) + P(Hindi) - P(English and Hindi), which simplifies to:
0.9 = 0.75 + P(Hindi) - 0.5. Solving for P(Hindi), we find that P(Hindi) = 0.9 - 0.75 + 0.5 = 0.65. Hence, the probability of passing the Hindi examination is 0.65.

User Sufyan Ahmad
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories