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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.

User Ericharlow
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1 Answer

6 votes

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.

User Alan Mroczek
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