Question

Jonah and Mike are playing a game with a fair number cube withfaces numbered 1 to 6 and a spinner with the numbers 3,2 6, 4, 6,4, 3, 2. In order for Jonah to advance to the next level, he must rollan even number on cube and spin an even number on the spinner.What is Jonah's chance of advancing?Your answer needs to bewritten as a % and do not round your answer.

Answer 1

`\begin{gathered} P(A\text{ and B)=}(3)/(8) \\ P(A\text{ and B)= 37.5\%} \end{gathered}`

Explanation:

The probability of an event is represented by the following equation;

`P(A)=\frac{\text{ Number of favorable outcomes}}{\text{ Total number of possible outcomes}}`

Then, he must roll an even number on the cube and spin an even number on the spinner.

The probability of two independent events happening is given as:

`P(A\text{ and B)=}P(A)\cdot P(B)`

Hence, Jonah's chance of advancing is:

`\begin{gathered} P(A\text{ and B)=}(3)/(6)\cdot(6)/(8) \\ P(A\text{ and B)=}(18)/(48) \\ P(A\text{ and B)=}(3)/(8) \end{gathered}`