P(B1)=P(B2)=1/2. P(Black∣B1)=5/9, P(Black∣B2)=6/11. By Bayes' theorem: P(B2∣Black)=(1/2)(5/9)+(1/2)(6/11)(1/2)(6/11)=5/9+6/116/11=109/996/11=11×1096×99=10954.
Bag I contains 4 red and 5 black balls, while another Bag II contains 5 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be black. Then the probability that it was drawn from Bag II, is
Held on 10 Aug 2022 · Verified 13 Jul 2026.
10954
10951
10964
11954
Sign in to track your attempts and accuracy.
Sign in to keep a private note on this question. Nothing you write is ever public.
If f(x) = 2x + 3, then f⁻¹(x) is:
If a random variable $X$ has the following probability distribution: | X | 0 | 1 | 2 | 3 | 4 | |---|---|---|---|---|---| | P(X) | k | 2k | 3k | k² | 6k² | , then Match List-I with List-II | List-I | List-II | |---|---| | (A) k | (I) 3/7 | | (B) $P(X < 2)$ | (II) 6/49 | | (C) $P(X > 3)$ | (III) 1/7 | | (D) $P(2 \leq X \leq 3)$ | (IV) 22/49 | Choose the correct answer from the options given below:
If the roots of the equation x² - 5x + k = 0 are in the ratio 2:3, then the value of k is:
It is known that 3% of plastic bags manufactured in a factory are defective. Using the Poisson distribution on a sample of 100 bags, the probability of at most one defective bag is:
If R and S are two equivalence relations on a set A, then
Work through every CUET UG Algebra PYQ, year by year.