A club raffle requires drawing one coloured ball from a bag and then spinning a wheel…
MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
A club raffle requires drawing one coloured ball from a bag and then spinning a wheel numbered 1 to 8. The organiser states that the total number of possible outcomes is obtained by multiplying the two individual counts. Which of the following best justifies this calculation?
(a) The events are mutually exclusive, hence their probabilities must be multiplied.
(b) The two acts are independent, so each colour can pair with every number.
(c) Since the two actions occur one after the other, you add their individual counts to find the total possibilities.
(d) There are more numbers than colours, so multiplication balances the counts.