Experimental Probability

Q.

What the probability that a leap year selected randomly will have 53 Sundays?

Q.

When three coins are tossed simultaneously find the probability of atmost two head

Q.

The probability of getting 2 heads, when two coins are tossed, is
(a) 1 (b) $\frac{3}{4}$ (c) $\frac{1}{2}$ (d) $\frac{1}{4}$

Q.

If a coin is tossed four times, what is the probability of getting exactly two heads and two tails?

Q.

How many spades are present in a deck of cards?

1. 26

2. 3

3. 4

4. 13

Q. Savita and Hamida are friends. What is the probability that both will have (1) different birthdays ? (2) the same birthday ? (ignoring a leap year).

Q.

Out of the families having 3 children, a family is chosen random. Find the probability that the family has

Exactly 1 girl

At least 1 girl

At most 1 girl

Q.

Two different dice are thrown together. find the probability that the numbers obtained
(i) have a sum less than 7 (ii) have a product less than 16
(iii) is a doublet of odd numbers.

Q.

The mean and variance of a binomial distribution are $4$ and $2$ respectively. Then the probability of $2$ successes is

1. $\frac{28}{256}$

2. $\frac{219}{256}$

3. $\frac{128}{256}$

4. $\frac{37}{256}$

Q. What is the probability that a leap year has 52 Mondays?

(a) $\frac{2}{7}$

(b) $\frac{4}{7}$

(c) $\frac{5}{7}$

(d) $\frac{6}{7}$

Q.

A number is selected at random from the numbers 1 to 30. What is the probability that the selected nummber is a prime number ?
(a) $\frac{2}{3}$ (b) $9\frac{1}{6}$ (c) $\frac{1}{3}$ (d) $\frac{11}{30}$

Q.

A box contains cards bearing numbers 6 to 70. If one card is drawn at random from the box, find the probability that it bears (i) a one digit number, (ii) a number divisible by 5, (iii) an odd number less than 30,
(iv) a composite number between 50 and 70.

Q.

CArds bearing numbers 1, 3, 5, ..., 35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (iI) a prime number less than 15, (ii) a number divisible by 3 and 5.

Q.

How many red cards are present in a deck of cards?

1. 26

2. 3

3. 13

4. 4

Q.

A box contains cards numbered 6 to 50. A card is drawn at random from the box. The proabbility that the drawn card has a number which is a perfect square is
(a) $\frac{1}{45}$ (b) $\frac{2}{15}$ (c) $\frac{4}{45}$ (d) $\frac{1}{9}$

Q.

A coin is tossed $3$ times.

The probability of obtaining at least two heads is

1. $\frac{1}{8}$

2. $\frac{3}{8}$

3. $\frac{1}{2}$

4. $\frac{2}{3}$

Q.

A die is thrown once. The probability of getting a prime number is
(a) $\frac{2}{3}$ (b) $\frac{1}{3}$ (c) $\frac{1}{2}$ (d) $\frac{1}{6}$

Q.

A coin is tossed $3$times what is the probability of getting at least two tails

Q.

A die is tossed thrice.

A success is getting $1$or $6$ on a toss.

The mean and the variance of the number of successes.

1. $\mathrm{\mu }=1,{\mathrm{\sigma }}^2=\frac{2}{3}$

2. $\mathrm{\mu }=\frac{2}{3},{\mathrm{\sigma }}^2=1$

3. $\mathrm{\mu }=2,{\mathrm{\sigma }}^2=\frac{2}{3}$

4. $\mathrm{None}\mathrm{of}\mathrm{these}$

Q.

What is the probability that the month of January may have 5 mondays in a leap year?

Q.

A bag contains 15 White and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball find the number of black balls in the bag.

Q.

The probability of selecting a rotten apple randomly from a heap of 900 apples is 0.18. What is the number of rotten apples in the heap?

Q.

A bag $A$ contains $4$ green and $3$ red balls and bag $B$ contains $4$ red and $3$ green balls. One bag is taken at random and a ball is drawn and noted to be green. The probability that it comes from bag $B$ is

1. $\frac{2}{7}$

2. $\frac{2}{3}$

3. $\frac{3}{7}$

4. $\frac{1}{3}$

Q. A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is neither a red card nor a queen.

Q.

Find the probability that the month of January may have 5 Mondays in

(I) a leap year

(II) a non leap year.

Q. What is the probability that a leap year has 53 Tuesdays and 53 Mondays?

Q.

The probability of selecting a red ball at random from a jar that contains only red, blue and orange balls is $\frac{1}{4}$ . The probability of selecting a blue ball at random from the same jar is $\frac{1}{3}$. If the jar contains 10 orange balls, find the total number of balls in the jar.

Q.

All kings, queens and aces are removed from a pack of 52 cards. The remaining cards are well - shuffled and then a card is drawn from it. Find the probability that the drawn card is (i) a black face card, (ii) a red card.

Q. Find the probability of getting 5 Mondays in the month of february in a leap year

Q. What is the probability that a leap year selected at a random will contain 53 thursday