# ML Aggarwal Probability MCQs Class 10 ICSE Maths Solutions Ch-22

ML Aggarwal Probability MCQs Class 10 ICSE Maths Solutions Ch-22. We Provide Step by Step Answer of MCQs Questions for Ch-22 Matrices as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-10.

## ML Aggarwal Probability MCQs Class 10 ICSE Maths Solutions Ch-22

Board | ICSE |

Publications | Avichal Publishig Company (APC) |

Subject | Maths |

Class | 10th |

Chapter-22 | Probability |

Writer | ML Aggarwal |

Book Name | Understanding |

Topics | Solution of MCQs Questions |

Edition | 2022-2023 |

**Probability Multiple Choice Questions**

ML Aggarwal Probability MCQs Class 10 ICSE Maths Solutions Ch-22

**Page 543**

**Choose the correct answer from the given four options (1 to 20):**

**Question 1 ****Which of the following cannot be the probability of an event?**

**(a) 0.7**

**(b) 2/3**

**(c) – 1.5**

**(d) 15%**

**Answer 1**

– 1.5 (negative) can not be a probability as a probability is possible 0 to 1. (c)

**Question 2 ****If the probability of an event is p, then the probability of its complementary event will be**

**(a) p – 1**

**(b) p**

**(c) 1 – p**

**(d) 1-1/p**

**Answer 2**

Complementary of p is 1 – p

Probability of complementary even of p is 1 – p. (c)

**Question 3 ****Out of one digit prime numbers, one selecting an even number is**

**(a) 1/2**

**(b) 1/4**

**(c) 4/9**

**(d) 2/5**

**Answer 3**

One digit prime numbers are 2, 3, 5, 7 = 4

Probability of an even prime number (i.e , 2) = 1/4 (b)

**Question 4 ****When a die is thrown, the probability of getting an odd number less than 3 is**

**(a) 1/6**

**(b) 1/3**

**(c) 1/2**

**(d) 0**

**Answer 4**

A die is thrown

Total number of events = 6

Odd number less than 3 is 1 = 1

Probability = 1/6 (a)

**Question 5 ****A fair die is thrown once. The probability of getting an even prime number is**

**(a) 1/6**

**(b) 2/3**

**(c) 1/3**

**(d) 1/2**

**Answer 5**

A fair die is thrown once

Total number of outcomes = 6

Prime numbers = 2, 3, 5 and even prime is 2

Probability of getting an even prime number = 1/6 (a)

**Question 6 ****A fair die is thrown once. The probability of getting a composite number is**

**(a) 1/3**

**(b) 1/6**

**(c) 2/3**

**(d) 0**

**Answer 6**

A fair die is thrown once

Total number of outcomes = 6

Composite numbers are 4, 6 = 2

Probability = 2/6 = 1/3 (a)

**Question 7 ****If a fair dice is rolled once, then the probability of getting an even number or a number greater than 4 is**

**(a) 1/2**

**(b) 1/3**

**(c) 5/6**

**(d) 2/3**

**Answer 7**

A fair dice is thrown once.

Total number of outcomes = 6

Even numbers or a number greater than 4 = 2, 4, 5, 6 = 4

Probability = 4/6 = 2/3 (d)

**Question 8 ****If a letter is chosen at random from the letters of English alphabet, then the probability that it is a letter of the word ‘DELHI’ is**

**(a) 1/5**

**(b) 1/26**

**(c) 5/26**

**(d) 21/26**

**Answer 8**

Total number of English alphabets = 26

Letter of Delhi = D, E, L, H, I. = 5

Probability = 5/26 (c)

**Question 9 ****A card is selected at random from a pack of 52 cards. The probability of its being a red face card is**

**(a) 3/26**

**(b) 3/13**

**(c) 2/13**

**(d) 1/2 **

**Answer 9**

Total number of card = 52

No. of red face card = 3 × 2 = 6

.’. Probability = 6/52 = 3/26 (a)

ML Aggarwal Probability MCQs Class 10 ICSE Maths Solutions Ch-22

Page 544

**Question 10 ****If a card is drawn from a well-shuffled pack of 52 playing cards, then the probability of this card being a king or a jack is**

**(a) 1/26**

**(b) 1/13**

**(c) 2/13**

**(d) 4/13**

**Answer 10 **

Total number of cards 52

Number of a king or a jack = 4 + 4 = 8

.’. Probability = 8/52 = 2/13 (c)

**Question 11 ****The probability that a non-leap year selected at random has 53 Sundays is.**

**(a) 1/365**

**(b) 2/365**

**(c) 2/7**

**(d) 1/7**

**Answer 11**

Number of a non-leap year 365

Number of Sundays = 53

In a leap year, there are 52 weeks or 364 days

One days is left

Now we have to find the probability of a Sunday out of remaining 1 day

∴ Probability = 1/7 (d)

**Question 12 ****A bag contains 3 red balk, 5 white balls and 7 black balls. The probability that a ball drawn from the bag at random will be neither red nor black is**

**(a) 1/5**

**(b) 1/3**

**(c) 7/15**

**(d) 8/1**

**Answer 12 **

In a bag, there are

3 red balls + 5 white balls + 7 black balls

Total number of balls = 15

One ball is drawn at random which is neither

red not black

Number of outcomes = 5

Probability = 5/15 = 1/3 (b)

**Question 13 ****A bag contains 4 red balls and 5 green balls. One ball is drawn at random from the bag. The probability of getting either a red ball or a green ball is**

**(a) 4/9**

**(b) 5/9**

**(c) 0**

**(d) 1**

**Answer 13 **

In a bag, there are

4 red balls + 5 green balls

Total 4 + 5 = 9

One ball is drawn at random

Probability of either a red or a green ball = 9/9 = 1 (d)

**Question 14 ****One ticket is drawn at random from a bag containing tickets numbered 1 to 40. The probability that the selected ticket has a number which is a multiple of 5 is**

**(a) 1/5**

**(b) 3/5**

**(c) 4/5**

**(d) 1/3**

**Answer 14**

There are t to 40 = 40 tickets in a bag

No. of tickets which is multiple of 5 = 8

(5, 10, 15, 20, 25, 30, 35, 40)

Probability = 8/40 = 1/5 (a)

**Question 15 ****If a number is randomly chosen from the numbers 1,2,3,4, …, 25, then the probability of the number to be prime is**

**(a) 7/25**

**(b) 9/25**

**(c) 11/25**

**(d) 13/25**

**Answer 15**

There are 25 number bearing numbers 1, 2, 3,…,25

Prime numbers are 2, 3, 5, 7, 11, 13, 17 19, 23 = 9

Probability being a prime number = 9/25 (b)

**Question 16 ****A box contains 90 cards numbered 1 to 90. If one card is drawn from the box at random, then the probability that the number on the card is a perfect square is**

**(a) 1/10**

**(b) 9/100**

**(c) 1/9**

**(d) 1/100**

**Answer 16**

In a box, there are

90 cards bearing numbers 1 to 90

Perfect squares are 1, 4, 9, 16, 25, 36, 49, 64, 81 = 9

Probability of being a perfect square = 9/90 = 1/10 (a)

**Question 17 ****If a (fair) coin is tossed twice, then the probability of getting two heads is**

**(a) 1/4**

**(b) 1/2**

**(c) 3/4**

**(d) 0**

**Answer 17**

A coin is tossed twice

Number of outcomes = 2 x 2 = 4

Probability of getting two heads (HH = 1) = 1/4 (a)

**Question 18 ****If two coins are tossed simultaneously, then the probability of getting at least one head is**

**(a) 1/4**

**(b) 1/2**

**(c) 3/4**

**(d) 1**

**Answer 18**

Two coins are tossed

Total outcomes = 2 × 2 = 4

Probability of getting at least one head (HT,TH,H,H) = 3/4 (c)

**Question 19 ****Lakshmi tosses two coins simultaneously. The probability that she gets almost one head**

**(a) 1**

**(b) 3/4**

**(c) 1/2**

**(d) 1/7**

**Answer 19**

Two coins are tossed

Total number of outcomes = 2 × 2 = 4

Probability of getting at least one head = (HT, TH, RH = 3) = 3/4 (b)

**Question 20 ****The probability of getting a bad egg in a lot of 400 eggs is 0.035. The number of bad eggs in the lot is**

**(a) 7**

**(b) 14**

**(c) 21**

**(d) 28**

**Answer 20**

Total number of eggs 400

Probability of getting a bad egg = 0.035

Number of bad eggs = 0.035 of 400 = 400×35/1000 = 14 (b)

— : End of ML Aggarwal Probability MCQs Class 10 ICSE Maths Solutions Ch-22 : –

Return to :- ML Aggarwal Solutions for ICSE Class-10

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