Probability And Statistics
20 previous year questions.
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Chapter Questions 20 MCQs
There are 10 black and 5 white balls in a bag. Two balls are taken out, one after another, and the first ball is not placed back before the second is taken out. Assume that the drawing of each ball from the bag is equally likely. What is the probability that both the balls drawn are black?
A die is thrown twice. Let us represent the event 'obtaining an odd number on the first throw' by A and the event 'obtaining an odd number on the second throw' by B. Test the independency of the events A and B.
The probabilities of solving a question by and independently are and respectively. If both of them try to solve it independently, find the probability that:
The given events and are such that , , and ; then find .
(d) If , , and , find the value of :
A die is thrown two times. It is found that the sum of the appeared numbers is 6. Find the conditional that the number 4 appeared at least one time.
There are two children in a family. If it is known that at least one child is a boy, find the that both children are boys.
If and , find .
A die is thrown once. If E represents the event βthe number obtained on the die is a multiple of 3β and F represents the event βthe number obtained on the die is evenβ, then tell whether the events E and F are independent.