Probability

Unbiased die is thrown, probability that outcome is greater than 4, is

• 3/4

• 4/5

• 1/3

• 5/6

Probability P(A) = 0. 7, P(B) = 0.4, P(A $\cap$ B) = 0.3, then P(A $\cap$ B') is equal to

• 0.1

• 0.3

• 0.2

• 0.4

Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children, is 

• $\frac{10}{21}$

• $\frac{11}{13}$

• $\frac{13}{25}$

• $\frac{21}{32}$

A parents has two children. If one of them is boy, then the probability that other is, also a boy, is

• 1/2

• 1/4

• 1/3

• None of these

A random variable X has the probability distribution

For the events E = {x is prime number} and F = {x < 4} the probability of P(E ∪ F) is

• 0.50

• 0.77

• 0.35

• 0.87

From a group of 8 boys and 3 girls, a commitee of 5 members to be formed. Find the probability that 2 particular girls are included in the committe is

• $\frac{4}{11}$

• $\frac{2}{11}$

• $\frac{6}{11}$

• $\frac{8}{11}$

A four digit number is to be formed using the digits 1, 2, 3 4, 5 6, 7 (no digit is being repeated in any number). Then, the probability that it is > 4000, is

• 3/2

• 1/2

• 4/7

• 3/7

If x follows the Binomial distribution with parameters n = 6 and p and 9P(X = 4) = P(X = 2), then p is

• 1/4

• 1/3

• 1/2

• 2/3

One card is drawn at random from a pack of playing cards the probability that it is an ace or black king or the queen of the heart will be

• $\frac{3}{52}$

• $\frac{7}{52}$

• $\frac{6}{52}$

• $\frac{1}{52}$

15 coins are tossed, then the probability of getting 10 heads will be

• $\frac{511}{32768}$

• $\frac{1001}{32768}$

• $\frac{3003}{32768}$

• $\frac{3005}{32768}$