5.3b Statistics - Probability Of Complements And Compound Events

A single six-sided die is rolled.  What is the probability that the number rolled is not 4? (leave your answer as a fraction)

When two six-sided dice are rolled, there are 36 possible outcomes. (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)What is the probability that the sum of a roll is not 5? (leave as a fraction)

When two six-sided dice are rolled, there are 36 possible outcomes. (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)What is the probability that the sum of a roll is not 12? (leave as a fraction)

When two six-sided dice are rolled, there are 36 possible outcomes. (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)What is the probability that the sum of a roll is 12? (leave as a fraction)

When two six-sided dice are rolled, there are 36 possible outcomes. (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)What is the probability that the sum of a roll is not 7? (leave as a fraction)

Of 162 students honored at an academic awards banquet, 48 won awards for mathematics and 78 won awards for English.  14 of these students won awards for both.  1 out of the 162 students will be selected for a newspaper interview.  What is the probability that the student selected for the interview won an award for either English or mathematics? (leave your answer as a fraction)

A card is randomly selected from a standard 52-card deck.  Find the probability that the card selected is either a king or a spade?

A card is randomly selected from a standard 52-card deck.  Find the probability that the card selected is either a queen or a 3?

A weather forecaster says that the probability it will rain on Saturday or Sunday is 50%, the probability it will rain on Saturday is 20%, and the probability it will rain on Sunday is 40%.  what is the probability that it will rain on both Saturday and Saturday?

A weather forecaster says that the probability it will rain on Saturday or Sunday is 60%, the probability it will rain on Saturday is 40%, and the probability it will rain on Sunday is 70%.  what is the probability that it will rain on both Saturday and Saturday?