MEDIUM
12th West Bengal Board
IMPORTANT
Earn 100

A coin is tossed until a head appears or tail appears 4 times in a succession. Find the probability distribution of number of tosses.

Important Questions on Probability (Part-II)

MEDIUM
12th West Bengal Board
IMPORTANT
Two cards are drawn successively with replacement from a well shuffled pack of 52 playing cards. Find the probability distribution of the number of kings.
EASY
12th West Bengal Board
IMPORTANT
A random variable X takes all non-negative integral values and the probability that X takes the value r is proportional to 13r. Find PX=0.
MEDIUM
12th West Bengal Board
IMPORTANT
A random variable X takes all non-negative integral values and the probability that X takes the value r is proportional to 1r!5r. Find PX=0 and PX<3.
MEDIUM
12th West Bengal Board
IMPORTANT
Two cards are drawn from a pack of 52 playing cards. Find the probability distribution of the number of aces.
HARD
12th West Bengal Board
IMPORTANT
A die is loaded in such a way that an odd number is thrice likely to occur as an even number. If the die is tossed twice, find the probability distribution of random variable X  which represents the number of primes appeared in two tosses.
HARD
12th West Bengal Board
IMPORTANT
A die is loaded in a way that a multiple of 3 is twice likely to occur as a number which is not a multiple of 3. If the die is tossed thrice, find the probability distribution of a random variable X which represents the number of even appeared in three tosses.
MEDIUM
12th West Bengal Board
IMPORTANT
A coin is biased so that the head is 5 times as likely to occur as tail. If the coin is tossed twice, find the probability distribution of number of tails.
MEDIUM
12th West Bengal Board
IMPORTANT
A fair die is tossed twice. If the number appeared on the top is less than 3, it is a success. Find the probability distribution of number of successes.