Categories \(\Rightarrow\) Class IX Class X Class XI Mathematics Physics Chemistry Biology
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1.
If a fair coin is tossed once, what is the probability of getting a head?
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2.
A die is thrown once. Find the probability of getting an even number.
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3.
From numbers 1 to 10, one number is chosen at random. Find probability it is prime.
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4.
Probability of an impossible event is:
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5.
Probability of a sure event equals:
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6.
If \(P(A)=\frac34\), find \(P(A')\).
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7.
A card is drawn from a deck. Probability of getting a red card?
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8.
Two coins are tossed. Probability of getting exactly one head?
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9.
A die is thrown. Probability of getting a number greater than 4?
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10.
If events \(A\) and \(B\) are mutually exclusive, then \(P(A\cap B)\) is:
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11.
Probability of drawing an ace from a deck:
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12.
Three coins are tossed. Probability of getting all heads?
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13.
If \(P(A)=0.6\), find \(P(A')\).
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14.
Probability always lies between:
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15.
One card drawn. Probability it is king or queen?
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16.
Two dice thrown. Probability of sum 7?
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17.
Probability of at least one head in two tosses?
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18.
Bag has 5 red and 3 blue balls. One drawn. Probability of blue?
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19.
Probability of drawing a non-face card?
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20.
Two dice thrown. Probability both even?
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21.
Two dice are thrown together. Find the probability of getting the same numbers.
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22.
If \(P(A)=0.4,P(B)=0.5\) and \(P(A\cap B)=0.1\), find \(P(A\cup B)\).
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23.
What is the probability that a leap year has 53 Sundays?
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24.
Two cards are drawn successively without replacement. Find probability that both are red.
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25.
Three coins are tossed. Probability of getting exactly two heads.
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26.
Two dice are thrown. Find probability that the product of numbers obtained is even.
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27.
One letter is chosen at random from the word “PROBABILITY”. Find probability that it is a vowel.
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28.
Three cards are drawn at random. Find probability that all are kings.
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29.
If events \(A\) and \(B\) are independent, then \(P(A\cap B)\) equals:
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30.
Two balls are drawn from a bag containing 3 red and 2 blue balls. Find probability both are red.
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31.
Probability of at least one success in two trials when \(p=\frac12\):
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32.
A card drawn is red. Find probability that it is an ace.
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33.
Complement of an impossible event is:
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34.
If \(P(A)=0.7\), find \(P(A')\).
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35.
Two coins are tossed. Probability of getting at most one head.
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36.
Two dice thrown. Probability of getting exactly one six.
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37.
Three coins tossed. Probability of no tail.
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38.
A card drawn. Probability it is a spade or a king.
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39.
From 3 red and 2 blue balls, two reds followed by one blue are drawn without replacement. Probability?
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40.
The formula for conditional probability is:
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41.
Three dice thrown. Probability all show same number.
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42.
One number chosen from 1 to 20. Probability it is divisible by 3.
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43.
Two cards drawn with replacement. Probability both are red.
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44.
Two cards drawn without replacement. Probability no ace.
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45.
Two coins tossed. Probability both tails.
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46.
Three coins tossed. Probability of exactly one head.
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47.
Two numbers selected from 1–5. Probability both are odd.
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48.
Probability of getting a prime number on a die.
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49.
Two dice thrown. Probability of at least one six.
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50.
If \(P(A)=0.3\) and \(P(B)=0.4\) are independent, find \(P(A\cap B)\).
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Frequently Asked Questions

Probability is a numerical measure of the likelihood of an event, defined as \(P(E)=\frac{\text{Number of favourable outcomes}}{\text{Total number of equally likely outcomes}}\).

An experiment is a process whose outcome cannot be predicted with certainty in advance.

The sample space \(S\) is the set of all possible outcomes of an experiment.

Any subset of the sample space is called an event.

If all outcomes are equally likely, then \(P(E)=\frac{n(E)}{n(S)}\).

A random experiment is one whose result cannot be predicted with certainty but has well-defined possible outcomes.

Outcomes having the same chance of occurrence are called equally likely outcomes.

An event that always occurs has probability \(1\).

An event that never occurs has probability \(0\).

For any event \(E\), \(0\le P(E)\le1\).

If \(E\) is an event, then its complement is \(\bar E\), where \(P(\bar E)=1-P(E)\).

\(P(S)=1\).

\(P(\phi)=0\).

An event containing only one outcome is called an elementary event.

An event containing more than one outcome is called a compound event.

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