Question

Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.Rolling two 3s followed by one 5 on three tosses of a fair die.

Answer 1

Given:

The combined event is "Rolling two 3's followed by one 5 on three tosses of a fair die".

Required: Probability of the combined event.

Explanation:

Rolling a die repeatedly more than once are independent events.

Probability of getting a '3' = 1/6

Probability of getting a '5' = 1/6

So, the probability of the combined event

$\begin{gathered} =\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6} \\ =\frac{1}{216} \end{gathered}$

Final Answer: The probability of the combined event is 1/216.