Answer:
1/16
Step-by-step explanation:
A cube is tossed.
The possible outcomes: {1, 2, 3, 4, 5, 6} => 6 possible outcomes in total.
The event of occurring a number 3: {3} => 1 possible outcomes.
=> P(3) = number of possible outcome of event/ total possible outcomes = 1/6
A spinner is spun.
The possible outcomes: {A, A, A, A, B, C, C, C} => 8 possible outcomes in total.
The event of occurring letter C: {C, C, C} => 3 possible outcomes.
=> P(C) = number of possible outcome of event/ total possible outcomes = 3/8
The event of occurring 3 and the event of occurring C are two independent events because tossing a cube does not affect spinning a spinner. Then, we have:
P(3 and C) = P(3) x P(C) = (1/6) x (3/8) = 3/48 = 1/16
