Question

1. The curved outer surface of a drum is painted red (R), yellow (Y), purple (P), silver (S) and black (B), in 5 equal sections. The drum is spun twice and the colour uppermost noted. (a) Copy and complete this list of possible outcomes: RR YR Y.Y RY RP RS RB​

Answer 1

Answer: (b) RP PS SR BR YP YS YR RY PY PS PR SY SR SB

Each time the drum is spun, there are five possible colors that can end up on top: red, yellow, purple, silver, and black. Since the drum is spun twice, there are 5x5 = 25 possible outcomes for the two spins.

In the list provided (a), the possible outcomes are listed in the format of the color that was uppermost on the first spin followed by the color that was uppermost on the second spin. For example, "RR" would mean that red was the color uppermost on the first spin, and red was the color uppermost on the second spin.

In the list provided (b) the possible outcomes are all the possible combinations of the five colors, no order is specified here.

Each of the 25 possible outcomes listed in (a) and (b) are equally likely as long as the drum is well-balanced and spun fairly.

Explanation: