Explore topic-wise MCQs in Mathematics.

This section includes 7 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag 1.

A. 12/13
B. 5/12
C. 7/11
D. 7/12
Answer» E.
Discussion
2.

Bag 1 contains 3 red and 5 black balls while another Bag 2 contains 4 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it is drawn from bag 2.

A. 31/62
B. 16/62
C. 16/31
D. 31/32
Answer» D. 31/32
Discussion
3.

A man is known to speak truth 3 out of 4 times. He throws a die and reports that it is a six. Find the probability that it is actually a six.

A. 1/8
B. 5/8
C. 2/7
D. 3/8
Answer» E.
Discussion
4.

Previous probabilities in Bayes Theorem that are changed with the new available information are called __________

A. independent probabilities
B. dependent probabilities
C. interior probabilities
D. posterior probabilities
Answer» E.
Discussion
5.

Formula for conditional probability P(A|B) is _______

A. P(A|B) = ( frac{P(A B)}{P(B)} )
B. P(A|B) = ( frac{P(A B)}{P(A)} )
C. P(A|B) = ( frac{P(A)}{P(B)} )
D. P(A|B) = ( frac{P(B)}{P(A)} )
Answer» B. P(A|B) = ( frac{P(A B)}{P(A)} )
Discussion
6.

Formula for Bayes theorem is ________

A. P(A|B) = ( frac{P(B A)P(A)}{P(B)} )
B. P(A|B) = ( frac{P(A)}{P(B)} )
C. P(A|B) = ( frac{P(B A)}{P(B)} )
D. P(A|B) = ( frac{1}{P(B)} )
Answer» B. P(A|B) = ( frac{P(A)}{P(B)} )
Discussion
7.

Method in which the previously calculated probabilities are revised with values of new probability is called __________

A. Revision theorem
B. Bayes theorem
C. Dependent theorem
D. Updation theorem
Answer» C. Dependent theorem
Discussion