1. An unbiased dice is thrown examples
1) An unbiased dice is thrown. What is the probability that the number is Even Solution:Total number of outcomes possible when a die is thrown = 6, i.e. S={1,2,3,4,5,6}∴n(S)=6Let E = event of getting a number is even ∴E={2,4,6}∴n(E)=3∴P(E)=n(E)n(S)=36=12
2) An unbiased dice is thrown. What is the probability that the number is Multiple/Divide by 3Solution:Total number of outcomes possible when a die is thrown = 6, i.e. S={1,2,3,4,5,6}∴n(S)=6Let E = event of getting a number divide by 3 ∴E={3,6}∴n(E)=2∴P(E)=n(E)n(S)=26=13
3) An unbiased dice is thrown. What is the probability that the number is <= 4Solution:Total number of outcomes possible when a die is thrown = 6, i.e. S={1,2,3,4,5,6}∴n(S)=6Let E = event of getting a number ≤ 4 ∴E={1,2,3,4}∴n(E)=4∴P(E)=n(E)n(S)=46=23
4) An unbiased dice is thrown. What is the probability that the number is Prime Solution:Total number of outcomes possible when a die is thrown = 6, i.e. S={1,2,3,4,5,6}∴n(S)=6Let E = event of getting a number is prime ∴E={2,3,5}∴n(E)=3∴P(E)=n(E)n(S)=36=12
5) An unbiased dice is thrown. What is the probability that the number is >= 5Solution:Total number of outcomes possible when a die is thrown = 6, i.e. S={1,2,3,4,5,6}∴n(S)=6Let E = event of getting a number ≥ 5 ∴E={5,6}∴n(E)=2∴P(E)=n(E)n(S)=26=13
This material is intended as a summary. Use your textbook for detail explanation.
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