Question

Junior has 4 skittles in a bag, one is red, one is blue, one is green, and one is yellow. Junior takes a skittle out and eats it and then takes another skittle from the bag. Draw a tree diagram to show all the possible outcomes for Junior's two picks.

Answer 1

The tree diagram is shown below.

Explanation:

The color of the four skittles Junior had in his bag are:

S = {red (R), blue (B), green (G) and yellow (Y)}

It is provided that Junior takes a skittle out and eats it and then takes another skittle from the bag.

So, Junior has four options for the first draw, i.e. {R, B, G and Y}.

Then three options for the second draw. But the second draw is dependent on the first draw.

• If Junior ate the red skittle first, then the second skittle could be any of the three, (B, G and Y).

• If Junior ate the blue skittle first, then the second skittle could be any of the three, (R, G and Y).

• If Junior ate the green skittle first, then the second skittle could be any of the three, (R, B and Y).

• If Junior ate the yellow skittle first, then the second skittle could be any of the three, (R, B and G).

Consider the tree diagram below to better understand the information above.