Question

Make a tree diagram that shows the sample space of rolling a cube with facesnumbered 1 through 6 and flipping a fair coin. Using this tree diagram, what isthe probability of rolling the number 5 and the coin landing heads up?

Answer 1

Draw tree diagram for rolling cube and flipping the coin.

The number of observation in sample space is 12.

The possible outcome for number 5 and coin with head up is 1.

Determine the probability for number 5 and coin with head up.

$P=\frac{1}{12}$

So probability for number 5 and coin with head up is 1/12.