MEDIUM
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A word consists of 10 different alphabets, in which there are 4 consonants and 6 vowels. Four alphabets are chosen at random. What is the probability that more than one vowel is selected?

Important Questions on Probability

MEDIUM
Fifteen football players of a club-team are given 15 T-shirts with their names written on the backside. If the players pick up the T-shirts randomly, then the probability that at least 13 players pick the correct T-shirt is
EASY
What will be the addition of the probability of incident "E" and incident "E not".
MEDIUM
If a point Ax,y lies in the region bounded by the y-axis, straight lines 2y+x=6 and 5x-6y=30, then the probability that y<1 is
EASY
A class consists of 80 students, 25 of them are girls and 55 are boys. If 10 of them are rich and rest poor and also 20 are intelligent, probability of choosing poor not intelligent boy is
HARD
If 1+3P3,1-P4 and 1-2P2 are the probabilities of three mutually exclusive events, then the set containing all the possible values of P is
EASY
If A and B are mutually exclusive events such that p(A)=0.5 and p(AB)=0.75, then P(B) is equal to
EASY
What is the probability of a sure event?
EASY
Two dice are rolled. If each die has six faces which are numbered 2,3,5,7,11,13 then the probability that sum of the numbers on the top faces being a prime number is
EASY
The letters of the word MALAYALAM are written in paper slips and put into a box. A child is asked to take one slip from the box without looking. What is the probability of not getting A?
MEDIUM
Let A and B be two mutually exclusive events such that PA=12 and PB=13. Write the value of P(AB).
EASY
What will be the addition of the probability of incident "E" and incident "E not".
EASY
Let A and B are two mutually exclusive events with P( A )= 1 3 and P( B )= 1 4 . What is the value P( A ¯ B ¯ )?
MEDIUM
If A,B,C are three mutually exclusive and exhaustive events of an experiment such that P(A)=2P(B)=3P(C), then P(B) is equal to
MEDIUM
A person throws two fair dice. He wins Rs. 15 for throwing a doublet (same numbers on the two dice), wins Rs 12 when the throw results in the sum of 9 , and loses Rs. 6 for any other outcome on the throw. Then the expected gain/loss (in Rs.) of the person is:
EASY

Two dice are thrown. The events A, B and C are as follows:
A: getting an even number on the first die.
B: getting an odd number on the first die.
C: getting the sum of the numbers on the dice 5.
Describe the event: B and C.

EASY
For n independent events i=1, 2,...,n. All events are equally likely to occur. The probability that one of the events occurs is
EASY

Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice 5

A and B' are mutually exclusive

MEDIUM
Two dice are thrown. The events A, B and C are as follows:

A: getting an even number on the first die.

B: getting an odd number on the first die.

C: getting the sum of the numbers on the dice 5.

Then A and C are not mutually exclusive.

HARD
A fair coin is tossed a fixed number of times. If the probability of getting 6 heads is equal to that of getting 8 tails then the probability of getting 2 heads, is -
MEDIUM
Three coins are tossed together, then the probability of getting at least one head is