Question

Some students are playing a game. They roll a number cube and spin the arrow on aspinner on each turn.Exhibits.• The number cube has sides numbered 1 through 6.The spinner has 3 equal-sized sections colored red (R), yellow (Y), and blue (B).This tree diagram shows the sample space for the possible outcomes of rolling anumber cube one time and then spinning the arrow on the spinner once.123456RYB RYB RYB RYB R YB RYBWhat is the probability that, on a student's turn, the number cube will land with aneven number on the top face and the arrow on the spinner will stop on the blue (B)section?

Answer 1

given the sample space;

Probability of getting even number equals

`\begin{gathered} Pr(even\text{ number) = }\frac{number\text{ of possible outcome}}{Total\text{ outcome}} \\ Pr(even\text{ number = }(3)/(6) \\ Pr(even\text{ number }=(1)/(2)\text{ } \end{gathered}`

Probability of arrow stoping on blue is

`\begin{gathered} Pr(\text{ arrow stoping on blue) = }\frac{number\text{ of posible outcome}}{\text{Total outcome}} \\ Pr(\text{ arrow stoping on blue) = }(1)/(3) \end{gathered}`

Therefore the probability of getting even number and the arow stoping on blue is