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Probability Questions and Answers

Probability Questions

Formula

Definition of Probability

The best and the most common definition of probability is the chances or possibility of the occurrence of a particular happening or event. Probability is one of the most significant concepts in the field of mathematics that is used in our day to day life. There are a number of uses of probability that we encounter in our everyday life, for example weather forecasting, sports tactics, video as well as board sports, commercial, insurance strategies, and more.

Rules

  • The formula for checking the probability or chances of an event is:
    P(E) = number of simple events within n(E)/ total number of possible outcomes n(S)
    • n(E) is the total number of results fortunate to E
    • n(S) is the total number of results of the sample space
  • P (E) is permanently between 0 and 1.
  • The total of the chances of all regular actions should be 1.
  • If the action’s possibility is near to 1, the probabilities of an action to happen will be more.
  • If the chances of the event is near to 0, the probabilities of an incident to happen will be lesser in number.

Question 1

Time: 00:00:00
In a team of 50 boys and 18 girls, half of the boys and half of the girls know the volleyball. What is the probability of selecting one person who is either boy or girl knowing volleyball?

353/289

353/289

153/289

153/289

253/289

253/289

None of the above

None of the above

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Question 2

Time: 00:00:00
If two dices are rolled together, then find the probability that the total of two dice will be greater than 8 if the first dice is rolled is a 6?

1/2

1/2

2/5

2/5

2/3

2/3

1/9

1/9

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Question 3

Time: 00:00:00
A group of 6 players is selected randomly among a group of 12 men and 6 women. Determine the probability of exactly 3 women in the group?

400/999

400/999

512/1501

512/1501

312/1251

312/1251

550/1983

550/1983

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Question 4

Time: 00:00:00
A packet contains 15 identical tube lights. Among them, 9 are defective, and 6 are not. Find the probability that a tube light selected from 15 randomly is the defective one?

2/3

2/3

1/3

1/3

2/5

2/5

1/5

1/5

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Question 5

Time: 00:00:00
A bag has some green balls and 40 orange balls. If the probability for taking out the green balls is 7/10 of the orange ball, then find out how many green balls are there in the bag?

28

28

12

12

29

29

40

40

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Question 6

Time: 00:00:00
A bag comprises of eight white balls and twelve blue balls. If a ball is chosen randomly from the bag. Find the probability of receiving a blue ball and no blue ball?

6/5 and 2/5

6/5 and 2/5

5/9 and 3/5

5/9 and 3/5

10/11 and 2/3

10/11 and 2/3

3/5 and 2/5

3/5 and 2/5

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Question 7

Time: 00:00:00
Two dice are turned together. Find the probability that the total is equals to one, seven, and less than twelve?

0, 5/36, 25/36

0, 5/36, 25/36

1/6, 5/36, 33/36

1/6, 5/36, 33/36

2/5, 4/5, 9/11

2/5, 4/5, 9/11

None of the above

None of the above

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Question 8

Time: 00:00:00
A girl has a bag filled with five green, three pink, and four purple chocolates. If one chocolate is taken out randomly from the bag, substituted, and the procedure is continued two more times. Then find the probability of taking out two green chocolates and one purple chocolate?

16/243

16/243

25/432

25/432

19/240

19/240

21/241

21/241

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Question 9

Time: 00:00:00
What is the probability of choosing either a heart or a face card from a 52 card deck?

11/13

11/13

10/26

10/26

11/26

11/26

14/29

14/29

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Question 10

Time: 00:00:00
In a group of 80 men and 40 women, half of total men and half of total women know basketball. Find the probability of choosing one man or woman who knows basketball?

2/3

2/3

1/2

1/2

14/7

14/7

16/9

16/9

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Question 11

Time: 00:00:00
In a group, there are 10 men and 15 women. Three people are selected randomly from them. Find the probability of selecting three women and two men.

10515/5121

10515/5121

7121/3500

7121/3500

10917/5092

10917/5092

10626/5005

10626/5005