Problem

A four-sided die labelled $1,2,3$, and 4 is rolled and a spinner labelled 3, 6 , and 9 is spun.
a) Create a table to show the sample space.
b) What is $P$ (sum even number)?

Answer

Expert–verified
Hide Steps
Answer

Calculate the probability of getting an even sum: \(\frac{6}{12} = \boxed{0.5}\)

Steps

Step 1 :Create a table to represent the sample space of rolling the die and spinning the spinner: \(\{(1, 3), (1, 6), (1, 9), (2, 3), (2, 6), (2, 9), (3, 3), (3, 6), (3, 9), (4, 3), (4, 6), (4, 9)\}\)

Step 2 :Calculate the probability of getting an even sum: \(\frac{6}{12} = \boxed{0.5}\)

link_gpt