Question

A spinner has three equally sized sectors numbered 1,3, and 5. The spinner is spun once and a coin is tossed. H represents heads, and T represents tails. What is the sample space of outcomes?

Answer 1

{1H, 1T, 3H, 3T, 5H, 5T}

Explanation:

When the spinner is spun, it can land on any of the sector 1,3 or 5. So there are 3 possible outcomes for spinner:{1, 3, 5}

Tossing a coin can result in two outcomes, Head or Tail {H, T}

For each outcome of spinner, two outcomes of coin are possible i.e. if spinner lands on 1, the coin can land either on H or T so overall outcomes can be:

1H, 1T

Likewise, for 3 and 5 we will have two outcomes each. So the total number of outcomes in the sample space will be 6. These are listed below:

{1H, 1T, 3H, 3T, 5H, 5T}

Answer 2

S = {1H, 3H, 5H, 1T, 3T, 5T}

Explanation:

As the spinner has three sides named 1,3 and 5. One of each can occur with either heads or tails so three outcomes with heads and three will be with tails.