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A 5 number spinner is spun and a coin is tossed. Draw a tree diagram showing all possible outcomes.

$9$ . A $5$ number spinner is spun and a coin is tossed. Draw a tree diagram showing all possible outcomes.

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Outcomes of compound events

Full solution

Q.

9

. A

5

number spinner is spun and a coin is tossed. Draw a tree diagram showing all possible outcomes.

Determine Spinner Outcomes: Determine the number of outcomes for spinning the $5$ number spinner. $\newline$ The spinner has $5$ numbers, so there are $5$ possible outcomes when it is spun.
Determine Coin Outcomes: Determine the number of outcomes for tossing a coin. $\newline$ There are $2$ possible outcomes when a coin is tossed: Heads (H) or Tails (T).
Draw First Level: Draw the first level of the tree diagram for the coin toss. The first level will have two branches: one for Heads ( $H$ ) and one for Tails ( $T$ ).
Draw Second Level: Draw the second level of the tree diagram for the spinner outcomes. For each branch of the coin toss (Heads and Tails), draw $5$ branches to represent the spinner outcomes: $1$ , $2$ , $3$ , $4$ , and $5$ .
List Possible Outcomes: List all the possible outcomes from the tree diagram. $\newline$ The possible outcomes are: $\newline$ $H_1, H_2, H_3, H_4, H_5,$ $\newline$ $T_1, T_2, T_3, T_4, T_5.$
Count Total Outcomes: Count the total number of outcomes. $\newline$ Since there are $2$ outcomes for the coin and $5$ outcomes for the spinner, there are $2 \times 5 = 10$ total outcomes.

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