List of top Mathematics Questions on Probability asked in BITSAT

The probability of getting $10$ in a single throw of three fair dice is :
A random variable \(X\) has the probability distribution given. For the events \(E = \{X \text{ is a prime}\}\) and \(F = \{X < 4\}\), then \(P(E \cup F)\) is
An urn contains five balls. Two balls are drawn and found to be white. The probability that all the balls are white is
One mapping is selected at random from all mappings of the set S=1,2,3,… ,n into itself. The probability that it is one–one is (3)/(32). Then the value of n is
If three vertices of a regular hexagon are chosen at random, then the chance that they form an equilateral triangle is
A man takes a step forward with probability 0.4 and backward with probability 0.6. The probability that at the end of ten steps he is one step away from the starting point is
A bag contains 3 red and 3 white balls. Two balls are drawn one by one. The probability that they are of different colours is
A bag contains \((2n+1)\) coins. It is known that \(n\) of these coins have a head on both sides, whereas the remaining \((n+1)\) coins are fair. A coin is picked up at random from the bag and tossed. If the probability that the toss results in a head is \(\frac{31}{42}\), then \(n\) is equal to
A bag contains $3$ red and $3$ white balls. Two balls are drawn one by one. The probability that they are of different colours is.
A bag contains \(n+1\) coins. It is known that one of these coins shows heads on both sides, whereas the other coins are fair. One coin is selected at random and tossed. If the probability that toss results in heads is \(\frac{7}{12}\), then the value of \(n\) is
A bag contains 5 brown and 4 white socks. A man pulls out 2 socks. Find the probability that they are of the same colour.
The probability of India winning a test match against West Indies is \( \frac{1}{2} \). Assuming independence from match to match, the probability that in a 5 match series India’s second win occurs at the third test is
Two dice are thrown together 4 times. The probability that both dice will show same numbers twice is:
The probability of simultaneous occurrence of at least one of two events A and B is \( p \). If the probability that exactly one of A, B occurs is \( q \), then \( P(A' \cup B') \) is equal to:
A die is loaded such that the probability of throwing the number is proportional to its reciprocal. The probability that 3 appears in a single throw is:
If A and B are mutually exclusive events and if P(B)=13, P(A B)=(13)/(21), then P(A) is equal to:
A bag contains $3$ white and $5$ black balls. One ball is drawn at random. Then the probability that it is white is:
If mean of a Poisson distribution of a random variable X is 2, then the value of P(X>1.5) is
A black die and a white die are rolled. Find the probability that the number shown by the black die will be more than twice that shown by the white die.
The random variable X has the following probability distribution |c|c|c|c|c|c| x & 0 & 1 & 2 & 3 & 4
P(X=x) & k & 3k & 5k & 2k & k
Then the value of P(X\ge2) is
Let $S$ be a set containing n elements and we select two subsets $A$ and $D$ of S at random, then the probability that $A \cup B = S$ and $A \cap B = \phi$ is: