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