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.

Step-by-step 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} =(1)/(6)\cdot(1)/(6)\cdot(1)/(6) \\ =(1)/(216) \end{gathered}`

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