Compound Events and Sample Space — Quiz

Question 1 • Grade 7 Mathematics

Lola tossed a coin twice. She made a tree diagram to show the possible outcomes. Which tree diagram shows the sample space for two tosses of a coin?

Answer

Image with description A tree diagram that shows the outcomes of the first toss as H for Heads and T for Tails. Then, extending from each of these outcomes, there are two branches, one for Heads and one for Tails. H branches to H and T, and T branches to H and T.

Image with description A tree diagram that shows the outcomes of the first toss as two Heads. Then extending from each of these two Heads, there are two branches that represent the second toss, one for Heads and one for Tails. H branches to H and T.

Image with description A tree diagram that shows the outcomes of the first toss as two Tails. Then extending from each of these two Tails, there are two branches that represent the second toss, one for Heads and one for Tails. T branches to H and T.

Explanation

Each coin toss can result in Heads (H) or Tails (T). After the first toss, each outcome must therefore branch to both H and T for the second toss, producing HH, HT, TH, and TT. Choice A shows these branches.

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