Probability Quiz Set 007


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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.


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This Blog Post/Article "Probability Quiz Set 007" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2020-02-07. Published on: 2016-05-08

Posted by Parveen(Hoven),
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