# Probability Quiz Set 003

### Question 1

A box contains 4 sky blue, 2 dark green and 8 khaki balls. What is the probability of drawing a ball that is neither dark green nor sky blue?

A

\${4/7}\$.

B

\$9/14\$.

C

\$5/91\$.

D

\$9/91\$.

Soln.
Ans: a

Total number of marbles is 14. We have to basically find the probability of picking a khaki ball, for which 8 chances are favorable. So probability = 8/14 = \${4/7}\$.

### Question 2

A bag contains three marbles 4 Red, 5 Green and 3 Blue. One marble is taken out. What is the probability of drawing a red marble.

A

1/3.

B

5/12.

C

1/4.

D

4/9.

Soln.
Ans: a

Total ways of drawing a marble = 4 + 5 + 3 = 12. Of these red marble can be drawn in 4 ways. So required probability = 4/12 = 1/3.

### Question 3

Karmjeet and Sham are friends. What is the probability that both will have different birthdays, ignoring a leap year?

A

\${364/365}\$.

B

\$21/365\$.

C

\$365/365\$.

D

\$369/365\$.

Soln.
Ans: a

The birthday of second friend has 365 outcomes. If it is not to match the birthday of the first friend, the number of favorable outcomes is 365 - 1 = 364. So probability is 364/365.

### Question 4

A piggy bank contains 28 nos. of 50-paise coins, 59 nos. of 1-rupee coins and 76 nos. of 2-rupee coins. The piggy bank is turned upside down, and one coin falls down. What is the probability that it is a 50-paise coin?

A

\${28/163}\$.

B

\$76/163\$.

C

\$29/163\$.

D

\$33/163\$.

Soln.
Ans: a

Out of the total number of coins = 163, the chances favoring 50-paise coin are 28. So the probability is 28/163 = \${28/163}\$.

### Question 5

Two friends were born on non-leap years. What is the chance that their birthdays do not fall on the same day and month of the year?

A

\${364/365}\$.

B

\$21/365\$.

C

\$365/365\$.

D

\$369/365\$.

Soln.
Ans: a

The birthday of second friend has 365 outcomes. If it is not to match the birthday of the first friend, the number of favorable outcomes is 365 - 1 = 364. So probability is 364/365.