Answer:
a. P(5 or 6 on the white die and an odd number on the red die) = 1/6
b. P(odd number on the white die and 5 or 6 on the red die) = 1/6
c. P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/3
Step-by-step explanation:
(a) P(5 or 6 on the white die and an odd number on the red die)
Step 1: P(5 or 6 on the white die) = 1/6 + 1/6 = 1/3
Step 2: P(odd number on the red die) = 1/2
Step 3: P(5 or 6 on the white die and an odd number on the red die) = 1/3 × 1/2 = 1/6
(b) Find P(odd number on the white die and 5 or 6 on the red die).
Step 1: P(odd number on the white die) = 1/2
Step 2: P(5 or 6 on the red die) = 1/6 + 1/6 = 1/3
Step 3: P(odd number on the white die and 5 or 6 on the red die) = 1/2 × 1/3 = 1/6
(c) Find P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die).
Step 1: P(5 or 6 on the white die and an odd number on the red die) = 1/6
Step 2: P(odd number on the white die and 5 or 6 on the red die) = 1/6
Step 3: P(5 or 6 on the white die and an odd number on the red die) or P(odd number on the white die and 5 or 6 on the red die) = 1/6 + 1/6 = 1/3