Question

These are the sides of a octahedron used to play a game. What is the probability for Jack to roll a 3 and then an even number.

Answer 1

1/16

Step-by-step explanation:

The number of sides in the octahedron = 8

`\text{The probability for Jack to roll a 3}=(1)/(8)`

The number of even numbers in the octahedron is 4. i.e. {2,3,4,8}

`\begin{gathered} \text{The probability for Jack to roll an even number}=(4)/(8) \\ =(1)/(2) \end{gathered}`

Therefore, the probability for Jack to roll a 3 AND then an even number:

`\begin{gathered} =(1)/(8)*(1)/(2) \\ =(1)/(16) \end{gathered}`

Note: Whenever the word AND is used, we multiply the individual probabilities.

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