Probability 2 Question 3

3. If E and F are events with P(E)P(F) and P(EF)>0, then which one is not correct? (1998, 2M)

(a) occurrence of E occurrence of F

(b) occurrence of F occurrence of E

(c) non-occurrence of E non-occurrence of F

(d) None of the above

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Answer:

Correct Answer: 3. (a)

Solution:

  1. It is given that, P(E)P(F)EF

and P(EF)>0EF

(a) occurrence of E occurrence of F

[from Eq. (i)]

(b) occurrence of F occurrence of E

(c) non-occurrence of E occurrence of F

[from Eq. (ii)]

Hence, option (c) is not correct.

[from Eq. (i)]



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