HARD
12th West Bengal Board
IMPORTANT
Earn 100

Six dice are thrown 1458 times. How many times can one expect at least three dice to show a 4 or a six?

Important Questions on Probability (Part-II)

HARD
12th West Bengal Board
IMPORTANT
A card is drawn and replaced in a pack of 52 playing cards. How many minimum number of times must a card be drawn so that chance of drawing a spade is more than 12?
HARD
12th West Bengal Board
IMPORTANT
The probability that a man can take a step forward is 0.3 and that he can take a step backward is 0.7. Determine the probability that at the end of thirteen steps he is just one step away from the starting point.
HARD
12th West Bengal Board
IMPORTANT
A die is thrown repeatedly until three fours are obtained. What is the probability of obtaining the third four in the sixth throw of the die?
HARD
12th West Bengal Board
IMPORTANT
A die is thrown six times. Find the probability of obtaining three sixes, one in the first three throws and two in the next three.
HARD
12th West Bengal Board
IMPORTANT
A box contains 40 white and 9 black balls. A ball is drawn and replaced at random for n times. Find n if the respective probabilities of getting a white ball twice, thrice and 5 times are in G.P.
HARD
12th West Bengal Board
IMPORTANT
How many times a fair coin should be tossed so that five times the probability of getting six heads will be the same as seven times the probability of getting 4 heads?
HARD
12th West Bengal Board
IMPORTANT
The incidence of occupational disease is such that on the average 10% of the workers suffer from it. If 20 workers are selected at random, find the probability that exactly 2 workers suffer from the disease. (Write the answer correct up to two decimal places.)
HARD
12th West Bengal Board
IMPORTANT
The incidence of occupational disease is such that on the average 10% of the workers suffer from it. If 20 workers are selected at random, find the probability that not more than 3 workers suffer from the disease. (Write the answer correct up to two decimal places.)