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Probability - Olympiad Level MCQ, Class 10 Mathematics - Class 10 MCQ


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25 Questions MCQ Test - Probability - Olympiad Level MCQ, Class 10 Mathematics

Probability - Olympiad Level MCQ, Class 10 Mathematics for Class 10 2024 is part of Class 10 preparation. The Probability - Olympiad Level MCQ, Class 10 Mathematics questions and answers have been prepared according to the Class 10 exam syllabus.The Probability - Olympiad Level MCQ, Class 10 Mathematics MCQs are made for Class 10 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Probability - Olympiad Level MCQ, Class 10 Mathematics below.
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Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 1

When two coins are tossed simultaneously, what are the chances of getting at least one tail? 

Detailed Solution for Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 1

At least one tails means one tails or both tails.
Let us see what the possible outcomes are when two coins are tossed simultaneously

We can get,
1) Heads and Heads
2) Heads and Tails
3) Tails and Heads
4) Tails and Tails
So we have Total = 4 outcomes.
Out of them, 3 have tails in it.
Chances of at least 1 tails = 3/4

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 2

Two fair coins are tossed simultaneously. Find the probability of Getting atleast two heads

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Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 3

Three fair coins are tossed simultaneously. Find the probability of getting more heads than the number of tails

Detailed Solution for Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 3

S = { HHH, HHT, HTH, HTT, THH, THT, TTH, TTT }

⇒ n(S) = 8

E = { HHH, HHT, HTH, THH }

⇒ n(E) = 4

P(E) = 4/8 = 1/2

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 4

Three fair coins are tossed simultaneously. Find the probability of Getting one tail

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 5

Three fair coins are tossed simultaneously. Find the probability of Getting atleast one head

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 6

Three fair coins are tossed simultaneously. Find the probability of Getting two heads

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 7

Three fair coins are tossed simultaneously. Find the probability of Getting atleast two heads

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 8

Three fair coins are tossed simultaneously. Find the probability of Getting atleast one head and one tail

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 9

Three fair coins are tossed simultaneously. Find the probability of Getting more heads than the number of tails

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 10

An unbiased die is rolled. Find the probability of Getting a number less than 7 but greater than 0.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 11

An unbiased die is rolled. Find the probability Getting a multiple of 3.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 12

An unbiased die is rolled. Find the probability of Getting a prime number.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 13

An unbiased die is rolled. Find the probability of Getting an even number.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 14

A coin is tossed successively three times. Find the probability of Getting exactly one head or two heads.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 15

A coin is tossed successively three times. Find the probability of Getting no heads.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 16

Two dice are rolled simultaneously. Find the probability of Getting a total of 9

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 17

Two dice are rolled simultaneously. Find the probability of Getting a sum greater than 9.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 18

Two dice are rolled simultaneously. Find the probability of Getting the sum of numbers on the two faces divisible by 3 or 4.

Detailed Solution for Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 18

Here n(S) = 6 x 6 = 36

E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)}

=> n(E)=20

Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 19

Two dice are rolled simultaneously. Find the probability of Getting the sum as a prime number.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 20

Two dice are rolled simultaneously. Find the probability of Getting atleast one 5.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 21

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that The card drawn is black.

Detailed Solution for Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 21

Total cards n(S)=52
There are 26 black cards in a pack n(B)=26

P(E) = n(B)/n(S) = 26/52 = 1/2

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 22

One card is drawn from a pack of 52 cards , each of the 52 cards being equally likely to be drawn. Find the probability that the card  drawn is neither a spade nor a king.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 23

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that The card drawn is black and a queen.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 24

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that The card drawn is either black or a queen.

Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 25

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is either king or a queen. 

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