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Worksheets for Probability can be great for learning and practicing the concept. Students of different Grades can utilize these Practice Sheet for Probability and get acquainted with various model questions. Probability Worksheets include concepts like Probability Theory, Applications of Probability, Probability Statistics, etc. Solve more Problems from this Worksheet and attempt the exam with confidence.

1. A coin is tossed 110 times and the tail is obtained 60 times. Now, if a coin is tossed at random, what is the probability of getting a tail?

## Solution:

Probability of an Event to happen = No. of Favourable Outcomes/ Total Number of Outcomes

Probability of getting tail when tossed a coin = 60/110

= 6/11

Therefore, the probability of getting tails is 6/11 when tossed a coin.

2. A coin is tossed 200 times and heads are obtained 120 times. Now, if a coin is tossed at random, what is the probability of getting a head?

## Solution:

Probability of an Event to happen = No. of Favourable Outcomes/ Total Number of Outcomes

Probability of getting a head = 120/200

= 12/20

= 3/5

Therefore, the probability of getting a head is 3/5.

3. In 120 throws of a dice, 4 is obtained 42 times. In a random throw of a dice, what is the probability of getting 4?

## Solution:

Probability of an Event to happen = No. of Favourable Outcomes/ Total Number of Outcomes

Probability of getting 4 = 42/120

= 21/60

= 7/20

The probability of getting 4 is 7/20.

4. What is the Probability of showing neither head nor tail when a coin is tossed?

## Solution:

When a coin is tossed the only possible outcomes are head and tail i.e. 2

Probability of neither head nor tail = 0/2

= 0

Therefore, the Probability of showing neither head nor tail is 0.

5. In 2005, there was a survey of 100 people, it was found that 68 like orange juice while 32 dislike it. From these people, one is chosen at random. What is the probability that the chosen people dislike orange juice?

## Solution:

Probability of people disliking orange juice = number of people disliking orange juice/total number of people

= 32/100

= 8/25

Therefore, the Probability of chosen people disliking orange juice is 8/25.

6. In a box there are 20 non-defective and some defective bulbs. If the probability that a bulb selected at random from the box to be defective is 3/4 then find the number of defective bulbs?

## Solution:

Let the number of defective bulbs be x

Therefore the total number of bulbs = 20+x

Given Probability of Defective Bulbs = 3/4

x/(20+x) = 3/4

4x = 3(20+x)

4x = 60+3x

4x-3x = 60

x = 60

Therefore, the number of defective bulbs is 60.

7. A bag contains 7 white balls and some black balls. If the probability of drawing a black ball from the bag is thrice the probability of drawing a white ball then find the number of black balls?

## Solution:

Let the number of black balls be n

Given Number of White Balls = 7

Total Number of Balls = 7+n

Probability of Drawing Black Balls = n/7+n

Probability of Drawing White Balls = 7/7+n

Given Condition is Probability of Drawing Black Ball = 3(Probability of Drawing White Ball)

n/(7+n) = 3(7/(7+n))

n/7+n = 21/7+n

n = 21

Therefore, the number of black balls is 21.

8. A bag contains 7 red balls, 5 green balls, and some white balls. If the probability of not drawing a white ball in one draw be 2/3 then find the number of white balls?

## Solution:

Let the number of white balls be n

Total number of balls in the bag = 7+5+n

= 12+n

Probability of drawing red ball = 7/12+n

Probability of drawing green ball = 5/12+n

Probability of drawing white ball = n/12+n

Given Probability of not drawing a white ball = 2/3

Thus, the probability of drawing a white ball = 1- 2/3

= 1/3

Therefore, n/12+n =1/3

solving this equation we get the value of n

12+n = 3n

12 = 2n

n = 6

Therefore, the number of white balls is 6.

9. One card is drawn at random from a well-shuffled deck of 52 cards. Find the probability that the card is drawn is either a red card or king?

## Solution:

Total Number of Cards = 52

Number of Cards = 26

No. of Kings in Red Cards = 2

Favorable Outcomes for either red card or king = 26+2

Probability of Red Card or King = Favorable Outcomes/Total number of Cards

= 28/52

= 7/13

The probability that the card drawn is red or king is 7/13.

10. A die is thrown once, find the probability of getting an odd number and a multiple of 3?

## Solution:

Given a die is thrown once

Probability of getting an odd number = {1, 3, 5}

Probability of getting an odd number or multiple of 3 is = {1, 3, 5} = 3

Required Probability = 3/6

= 1/2