A person draws a card from a pack of playing cards, replaces it and shuffles the pack. He continues doing this until he draws a spade. The chance that he will fail the first two times is
9/64
1/64
1/16
9/16
An integer is chosen at random from first two hundred numbers. Then, the probability that the integer chosen is divisible by 6 or 8 is
1/4
2/4
3/4
None of these
A dice is thrown 100 times, getting an even number is considered a success. The variance of the number of success is
10
25
18
A coin and six faced die, both unbiased, are thrown simultaneously. The probability of getting a head on the coin and an odd number on the die, is
1/2
2/3
If P(A) = P(B) = P(C) = 1/4, P (AB) = P (CB) = 0 and P(AC) = 1/8, then P(A+B) is equal to
5/8
37/64
If P (A∩B) = 1/3, P(A∪B) = 5/6 and P(A) = 1/2, then which of the following is correct?
A and B are independent events
A and B are mutually exclusive events
P(A) = P(B)
P(A) < P(B)
If the random variable X takes the values x1,x2,x3,....x10 with probabilities P(X = xi) = Ki then the value of K is equal to.
1/10
1/55
7/12
P(A) = 4/5, P(B') = 2/5 and P(A∩B) = 1/2, then P(A∩B') is
3/10
5/2
2/5
5/7
The probability that atleast one of A and B occurs is 0.6. If A and B occur simultaneously units probability 0.3, then P(A') + P(B') is
0.9
0.15
1.1
1.2
If A and B are mutually exclusive events with P(A) = 1/2 x P(B) and AυB = S, then P(A) is equal to
1/3
