Home › Bihar Board Class 12 (Commerce) › Mathematics › Probability › Events E and F, both with nonzero probability, a…
Events E and F, both with nonzero probability, are independent if
AP(E ∩ F) = 0
BP(E|F) = P(F)
CP(E|F) = P(E)
DP(E ∪ F) = 1
Answer & Solution
Correct answer: C. P(E|F) = P(E)
Independence means knowing F occurred does not change the chance of E, so P(E|F) equals P(E).
Related questions
If P(A) = 0.6 and P(B) = 0.7, the smallest possible P(A and B) isA bag has 5 red, 3 green and 2 yellow marbles. P(red or yellow) isTwo dice are thrown. P(first die is 6 and sum is at least 11) isA card is drawn from ten cards numbered 1 to 10. P(2, 4, 6 or 8) isTwo fair dice are thrown. P(sum greater than 11) isTwo fair coins are tossed. P(exactly one head) isA fair die is rolled. P(a number less than 3) isIn P(A) + P(B), the sample points of A and B together are counted