Learn Class 10 Math - Probability

The term probability refers to the measurement of the degree of certainty concerning the event's occurrence. And the operation that produces the set outcomes is considered as the term experiment.

To get the probability there is a set formula that we have to apply and after which we will get our required answer.

Event’s probability

  • The probability of an event refers to the number of outcomes of the favourable items to the total number of possible outcomes.
  • The probability range only lies from 0-1. As it is always less than 1.
  • P (E) = Number of favourable outcomes / Total number of possible outcomes.

Possible outcomes

When we toss a coin then its possible outcomes are only head and tail.

  • (H, H)
  • (H, T)
  • (T, H)
  • (T, T)

Outcome and event

  • The term outcome refers to the random results of an experiment.
  • Like rolling a dice, and we get six. Then six is the rolling outcome.
  • The term event refers to the total set of the outcomes.
  • Like When we do the rolling of a dice then the probability of achieving a number is less than 5. Then it is considered as an event.

Impossible event

  • The event in which there are no chances of occurring.
  • Like (P) = 0.

Learning Videos for 10th Grade Math - Probability

Probability Sample Questions for Class 10

Question 1

Which of the following correctly interprets the expression (5x-1)/(4y)?
A. One less than five times a number divided by four times a number
B. Five times a number minus one divided by four times another number
C. Five times a number divided by four times another number less one
D. One less than five times a number, divided by four times another number

Question 2

If a six-sided die is rolled and then a quarter is flipped, what is the probability of getting an even number and tails?
A. 1/4
B. 1/6
C. 1/2
D. 1/8

Question 3

What information can be determined directly from the factored form of the function h(d) ? Choose all correct answers.
A. The ball's initial height.
B. The total horizontal distance it traveled.
C. The angle the ball was hit at.
D. The total time the ball was in the air for.

Question 4

The probability that the a student will perform in the Christmas Concert next Friday is 0.7. The probability that the same student will have a football game the same night is 0.6.What is the probability that the student will have to do either event but not both?
A. 0.7
B. 0.6
C. 0.42
D. 0.88

Question 5

Which of the following is a valid conclusion?
A. All rhombi are squares.
B. All rhombi are rectangles.
C. All quadrilaterals are parallelograms.
D. All rectangles are parallelograms.