# Probability Quiz Set 007

### Question 1

If P(E) = 0.49, then what is the probability of non-occurrence of E?

A

0.51.

B

0.49.

C

0.5.

D

0.25.

Soln.
Ans: a

P(E) + P(non-occurrence of E) is always = 1. So P(non-occurrence of E) = 1 - P(E) = 0.51.

### Question 2

A piggy bank contains 82 nos. of 50-paise coins, 37 nos. of 1-rupee coins and 80 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

\${82/199}\$.

B

\$80/199\$.

C

\$83/199\$.

D

\$87/199\$.

Soln.
Ans: a

Out of the total number of coins = 199, the chances favoring 50-paise coin are 82. So the probability is 82/199 = \${82/199}\$.

### Question 3

From a deck of 52 cards 1 card is drawn at random. What is the probability that it will be a red Ace?

A

\${1/26}\$.

B

\$9/12\$.

C

\$2/26\$.

D

\$6/26\$.

Soln.
Ans: a

Number of ways of drawing 1 card = 52. There are two red Ace in the whole pack. So favorable chances are 2. Probability = 2/52 = 1/26.

### Question 4

From a deck of 52 cards two cards are drawn at random. What is the probability that both one is a hearts, and the other a Spades?

A

\${13/102}\$.

B

\$3/7\$.

C

\$14/102\$.

D

\$18/102\$.

Soln.
Ans: a

Number of ways of drawing 2 cards out of 52 = 52C2 = \$(52 × 51)/2\$ = 1326. There are 13 hearts and 13 Spades in the deck. So 2 such cards can be drawn in 13 × 13 = 169 ways. The probability = 169/1326 = 13/102.

### Question 5

There are 40 students in Class X of a school of whom 25 are girls and 15 are boys. If one student is absent today, what is the probability that it is a girl?

A

5/8.

B

3/8.

C

1/2.

D

3/10.

Soln.
Ans: a

Outcomes favoring a girl are 25, so the probability is 25/40 = 5/8. 