write the event in set form and write its points probablity
Answers
In probability, the set of outcomes from an experiment is known as an Event. So say for example you conduct an experiment by tossing a coin. The outcome of this experiment is the coin landing 'heads' or 'tails'. These can be said to be the events connected with the experiment.
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Answer:
i. Sample space (S) = {1, 2, 3, 4, 5, 6} ∴ n(S) = 6 Condition for event A: Even number on the upper face. ∴ A = {2,4,6} ∴ n(A) = 3 Condition for event B: Odd number on the upper face. ∴ B = {1, 3, 5} ∴ n(B) = 3 Condition for event C: Prime number on the upper face. ∴ C = {2, 3, 5} ∴ n(C) = 3 ii. Sample space, S = {(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)} ∴ n(S) = 36 Condition for event A: The sum of the digits on the upper faces is a multiple of 6. A = {(1, 5), (2, 4), (3, 3), (4, 2), (5, 1), (6, 6)} ∴ n(A) = 6 Condition for event B: The sum of the digits on the upper faces is minimum 10. B = {(4, 6), (5, 5), (5, 6), (6, 4), (6, 5), (6, 6)} ∴ n(B) = 6 Condition for event C: The same digit on both the upper faces. C = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)} ∴ n(C) = 6