Probability is a measure of the possibility of how likely an event will occur. It is a value between 0 and 1 which shows us how favorable is the occurrence of a condition. If the probability of an event is nearer to 0, let’s say 0.2 or 0.13 then the possibility of its occurrence is less. Whereas if the probability of an event is nearer to 1, lets say 0.92 or 0.88 then it is much favourable to occur. Probability of an event The probability of an event can be defined as a number of favorable outcomes upon the total number of outcomes.
Some terms related to probability
When two dice are rolled what is the probability of getting same number on both?
Sample QuestionsQuestion 1: Find the probability of getting odd number on first dice and even number on other dice when two dice are thrown simultaneously. Answer:
Question 2: If two dice are thrown together then find the probability of getting 1 or 2 on either of the dice. Answer:
Question 3: In an event 2 dice are thrown simultaneously. Find the probability of getting prime number on first dice. Answer:
Question 4: Three coins are tossed together find the probability of getting at least one head and one tail. Answer:
Question 5: Find the probability of getting at least two tails when a coin is tossed three times. Answer:
Solution: Given, two dice are thrown simultaneously. We have to find the probability that the sum of the numbers appearing on the dice is a prime number. When 2 dice are thrown at the same time, the overall possible outcomes are (1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2) (6,3) (6,4) (6,5) (6,6) Total number of possible outcomes = 36 Favourable outcomes = {(1,1) (1,2) (1,4) (1,6) (2,1) (2,3) (2,5) (3,2) (3,4) (4,1) (4,3) (5,2) (5,6) (6,1) (6,5)} Number of favourable outcomes = 15 Number of possible outcomes = 36 Probability = number of favourable outcomes / number of possible outcomes Probability = 15/36 = 5/12 Therefore, the probability of getting a sum of a prime number is 5/12. ✦ Try This: Two dice are thrown simultaneously. What is the probability that the sum of the numbers appearing on the dice is a even number? ☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14 NCERT Exemplar Class 10 Maths Exercise 13.3 Problem 20(ii) Summary: Two dice are thrown simultaneously. The probability that the sum of the numbers appearing on the dice is a prime number is 5/12 ☛ Related Questions: Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now Uh-Oh! That’s all you get for now. We would love to personalise your learning journey. Sign Up to explore more. Sign Up or Login Skip for now |