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Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E∩F) = 0.2, then P(E|F) ?
  • a)
    2/3
  • b)
    1/3
  • c)
    3/4
  • d)
    1/4
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E...
We know that P(E|F) = P(E∩F) / P(F). (By formula for conditional probability)
Value of P(E∩F) is given to be 0.2 and value of P(F) is given to be 0.3.
P(E|F) = (0.2) / (0.3).
P(E|F) = 2 / 3.
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Most Upvoted Answer
Given that E and F are events such that P(E) = 0.6, P(F) = 0.3 and P(E...
Solution:

Given data:
- P(E) = 0.6
- P(F) = 0.3
- P(E ∩ F) = 0.2

Calculating P(E|F):
To find the conditional probability P(E|F), we use the formula:
P(E|F) = P(E ∩ F) / P(F)
Substitute the given values into the formula:
P(E|F) = 0.2 / 0.3
P(E|F) = 2/3
Therefore, the correct answer is option 'a) 2/3'.
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