MEDIUM
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Which of the following best defines politics?

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Important Questions on Cell : The Unit of Life

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
The concept of “Omnis cellula-e cellula” regarding cell division was first proposed by:
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 -
EASY
A die is rolled. Let E be the event "die shows 4 " and F be the event "die shows even number". Are E and F mutually exclusive. (Yes/No)
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=B'

EASY
In a college of 300 students, every student reads 5 newspapers and every newspaper is read by 60 students. The number of newspapers is
EASY

Three coins are tossed once. Let A denote the event ‘three heads show”, B denote the event “two heads and one tail show”, C denote the event” three tails show and D denote the event ‘a head shows on the first coin”. Which events are simple?

MEDIUM
Two dice are tossed. Let A be the event that the first die shows an even number and B be the event that the second die shows an odd number. The two event A and B are 
EASY

Three coins are tossed once. Let A denote the event, "three heads show", B denote the event, “two heads and one tail show”, C denote the event, "three tails show" and D denote the event "a head shows on the first coin”. How many events are compound?

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: not B.

MEDIUM
Events A,B,C are mutually exclusive events such that PA=3x+13,P(B)=1-x4and PC=1-2x2. The set of possible values of x are in the interval
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

EASY
A person writes 4 letters and addresses 4 envelopes. If the letters are placed in the envelops at random, the probability that not all letters are placed in correct envelopes is
EASY

A die is thrown. Describe the following event:

 E: an even number greater than 4

If the answer is E=a, then a=

MEDIUM
Three coins are tossed together, then the probability of getting at least one head is
EASY
If 1-3p2 , 1+4p3 and 1+p6 are the probabilities of three mutually exclusive and exhaustive events, then the set of all values of p is