Class 10 Maths – Probability (Free MCQ Test)
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A box contains 90 discs numbered 1 to 90. What is the probability that a disc drawn at random bears a two-digit number?
Two-digit numbers are from 10 to 90, which totals 81 numbers. Probability = \( \frac{ 81 }{ 90 } = \frac{ 9 }{ 10 } \).
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Which of the following is the correct range for the probability \( P( E ) \) of any event \( E \)?
The sources state that the probability of an event is a number such that \( 0 \leq P( E ) \leq 1 \).
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The theoretical probability of an event \( E \), denoted as \( P( E ) \), is defined as:
According to the sources, the theoretical probability is the ratio of the number of outcomes favourable to \( E \) to the number of all possible outcomes of the experiment.
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A game of chance involves spinning an arrow that points at numbers 1 to 8. What is the probability it points at an odd number?
Odd numbers between 1 and 8 are 1, 3, 5, 7 (4 outcomes). Probability = \( \frac{ 4 }{ 8 } = \frac{ 1 }{ 2 } \).
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If the probability of Sangeeta winning a tennis match is 0.62, what is the probability of Reshma winning?
The events are complementary. Therefore, \( P( R ) = 1 – P( S ) = 1 – 0.62 = 0.38 \).
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An event having only one outcome of the experiment is called a/an:
By definition in the sources, an event having only one outcome is called an elementary event.
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When two dice are thrown simultaneously, what is the total number of possible outcomes?
Each die has 6 outcomes, so for two dice, the total outcomes are \( 6 \times 6 = 36 \).
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A child has a die with faces marked A, B, C, D, E, A. What is the probability of getting A?
There are 2 ‘A’s out of 6 faces. Probability = \( \frac{ 2 }{ 6 } = \frac{ 1 }{ 3 } \).
9 / 18
In a deck of 52 cards, how many suits are there?
The sources explain that a deck consists of 4 suits: spades, hearts, diamonds, and clubs.
10 / 18
What is the probability that two friends have the same birthday (ignoring leap years)?
There is only 1 favourable outcome out of 365 possible days, so \( P = \frac{ 1 }{ 365 } \).
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A bag contains 3 red balls and 5 black balls. If a ball is drawn at random, what is the probability that it is not red?
Total balls = 8. Number of balls that are not red (black) = 5. So, \( P = \frac{ 5 }{ 8 } \).
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How many face cards are there in a standard deck of 52 cards?
The sources define Kings, Queens, and Jacks as face cards. There are 3 in each of the 4 suits, totalling 12.
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Two coins are tossed simultaneously. What is the probability of getting at least one head?
The possible outcomes are \( ( H, H ), ( H, T ), ( T, H ), ( T, T ) \). Favourable outcomes are 3, so \( P = \frac{ 3 }{ 4 } \).
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Which of the following cannot be the probability of an event?
Probability cannot be negative or greater than 1. Thus, -1.5 is impossible.
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If \( P( E ) = 0.05 \), then \( P( \bar E ) \) is:
Using the formula \( P( \bar{ E } ) = 1 – P( E ) \), we get \( 1 – 0.05 = 0.95 \).
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If a die is thrown once, what is the probability of getting a prime number?
The possible prime numbers on a die are 2, 3, and 5. There are 3 favourable outcomes out of 6, so \( P = \frac{ 3 }{ 6 } = \frac{ 1 }{ 2 } \).
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A card is drawn from a well-shuffled deck of 52 cards. What is the probability that the card is an ace?
There are 4 aces in a deck of 52 cards. Thus, the probability is \( \frac{ 4 }{ 52 } = \frac{ 1 }{ 13 } \).
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12 defective pens are mixed with 132 good ones. What is the probability that a pen taken at random is a good one?
Total pens = \( 132 + 12 = 144 \). Good pens = 132. Probability = \( \frac{ 132 }{ 144 } = \frac{ 11 }{ 12 } \).
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