Answer:
a. 1/216
Step-by-step explanation:
To solve this problem let's call h the probability of getting a 4 when throwing a die.
Each throw of the die is an independent event, since the result obtained by throwing the dice the first time, does not condition the result obtained by throwing the die a second time.
The probability of h is:
P(h) = 1/6 (because the die has six faces)
We want to know the probability of getting a 4 three consecutive times. Since the events are independent, then this is:
P (h and h and h) = P (h)*P(h)*P (h)
P (h and h and h) = (1/6) ^ 3
P (h and h and h) = (1/6) ^ 3
P (h and h and h) = 1/216
