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Let E and F be events of a sample space S of an experiment, then P(E’/F) = …​

  • a)
    P(E/F)’

  • b)
    P(E’).P(F)

  • c)
    P(E’)/P(F)

  • d)
    1 – P(E/F)

Correct answer is option 'D'. Can you explain this answer?
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Let E and F be events of a sample space S of an experiment, then P(E&r...
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Let E and F be events of a sample space S of an experiment, then P(E&r...
Conditional Probability:

Conditional probability is the probability of an event occurring given that another event has occurred. It is denoted by P(E/F), which means the probability of event E given that event F has occurred.

Formula:

The formula for conditional probability is as follows:
P(E/F) = P(E ∩ F) / P(F)

Here, P(E ∩ F) represents the probability of both events E and F occurring together.

Solution:

Given, E and F are two events of a sample space S.

We need to find the value of P(E/F).

The correct option is D, which means 1.

Explanation:

When we say P(E/F), it means the probability of event E given that event F has occurred.

If the probability of event F happening is 0, then P(E/F) is undefined.

If the probability of event F happening is 1, then P(E/F) is equal to P(E), which means the probability of event E happening.

Here, the given option D is 1, which means that event F has occurred for sure.

So, the probability of event E happening given that event F has occurred is 1, which means that event E has also occurred for sure.

Hence, the correct option is D, which means 1.
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Let E and F be events of a sample space S of an experiment, then P(E&r...
E'/F + E/F = 1( sum total of all the possible outcome is always equal to 1)
1=e'/f + e/f
1-e/f = e'/f
hence correct answer is d
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Let E and F be events of a sample space S of an experiment, then P(E’/F) = …a)P(E/F)’b)P(E’).P(F)c)P(E’)/P(F)d)1 – P(E/F)Correct answer is option 'D'. Can you explain this answer?
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Let E and F be events of a sample space S of an experiment, then P(E’/F) = …a)P(E/F)’b)P(E’).P(F)c)P(E’)/P(F)d)1 – P(E/F)Correct answer is option 'D'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Let E and F be events of a sample space S of an experiment, then P(E’/F) = …a)P(E/F)’b)P(E’).P(F)c)P(E’)/P(F)d)1 – P(E/F)Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let E and F be events of a sample space S of an experiment, then P(E’/F) = …a)P(E/F)’b)P(E’).P(F)c)P(E’)/P(F)d)1 – P(E/F)Correct answer is option 'D'. Can you explain this answer?.
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