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Class 10
Maths :-Additional Questions - Set - 1 - Probability

Two different dice are rolled together. Find the probability of getting:

  1. the sum of numbers on two dice to be 5.
  2. even numbers on both dice.


Answer:


Total number of outcomes while rolling two dice = 36.
A: the sum of numbers is 5.
B: even number on both dice.

  1. Number of favourable cases of event A = 4 [i.e. (1, 4), (4,1), (2,3), (3,2)]
    so P(A)=4/36=1/9
  2. Number of favourable cases of event B = 9 [i.e. (2, 2), (2, 4), (2, 6), (4, 2), (4, 4), (4, 6), (6, 2), (6,4), (6, 6)]
    so P(B)=9/36=1/4