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Class 10 Exam  >  Class 10 Tests  >  Extra Documents, Videos & Tests for Class 10  >  Probability - Olympiad Level MCQ, Class 10 Mathematics - Class 10 MCQ

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


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25 Questions MCQ Test Extra Documents, Videos & Tests for Class 10 - Probability - Olympiad Level MCQ, Class 10 Mathematics

Probability - Olympiad Level MCQ, Class 10 Mathematics for Class 10 2024 is part of Extra Documents, Videos & Tests for 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.
Solutions of Probability - Olympiad Level MCQ, Class 10 Mathematics questions in English are available as part of our Extra Documents, Videos & Tests for Class 10 for Class 10 & Probability - Olympiad Level MCQ, Class 10 Mathematics solutions in Hindi for Extra Documents, Videos & Tests for Class 10 course. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free. Attempt Probability - Olympiad Level MCQ, Class 10 Mathematics | 25 questions in 25 minutes | Mock test for Class 10 preparation | Free important questions MCQ to study Extra Documents, Videos & Tests for Class 10 for Class 10 Exam | Download free PDF with solutions
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 1
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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
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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
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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
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Three fair coins are tossed simultaneously. Find the probability of Getting one tail
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 5
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Three fair coins are tossed simultaneously. Find the probability of Getting atleast one head
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 6
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Three fair coins are tossed simultaneously. Find the probability of Getting two heads
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 7
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Three fair coins are tossed simultaneously. Find the probability of Getting atleast two heads
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 8
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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
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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
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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
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An unbiased die is rolled. Find the probability Getting a multiple of 3.
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 12
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An unbiased die is rolled. Find the probability of Getting a prime number.
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 13
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An unbiased die is rolled. Find the probability of Getting an even number.
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 14
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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
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A coin is tossed successively three times. Find the probability of Getting no heads.
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 16
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Two dice are rolled simultaneously. Find the probability of Getting a total of 9
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 17
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Two dice are rolled simultaneously. Find the probability of Getting a sum greater than 9.
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 18
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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
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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
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Two dice are rolled simultaneously. Find the probability of Getting atleast one 5.
Probability - Olympiad Level MCQ, Class 10 Mathematics - Question 21
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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
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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
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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
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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
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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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