Question

Attempt 1 of 1 An 8-sided die with faces labeled 1 to 8 will be rolled once. The 8 possible outcomes are listed below. Note that each outcome has the same probability. Complete parts (a) through (C). Write the probabilities as fractions. (a) Check the outcomes for each event below. Then, enter the probability of the event. Outcomes Probability 1 2. 3 4 5 6 7 8 Event A: Rolling a number greater than 4 Event B: Rolling an even number Event A and B: Rolling a number greater than 4 and rolling Even number Event A OF B: Rolling a number greater than 4 or rolling an Contato Save PTV to search

Answer 1

Part a

Rolling a number greater than 4

Outcomes are-----> 5,6,7,8

P=4/8 -----> simplify -----> P=1/2

Part b

Rolling an even number

Outcomes are ----> 2,4,6,8

P=4/8 --> simplify -----> P=1/2

Part c

Rolling a number greater than 4 AND rolling an even number

Outcomes are -----> 6,8

P=2/8 ------> simplify -------> P=1/4

Part d

Rolling a number greater than 4 OR rolling an even number

Outcomes are -----> 2,4,5,6,7,8

P=6/8 ---------> P=3/4

Part B

Compute

P(A)+P(B)-P(Aand B)

we have

P(A)=1/2

P(B)=1/2

P(A and B)=1/4

(1/2)+(1/2)-(1/4)=3/4

Part C

the number that makes equation trues is 3/4