2026 TKGS WA2 Q5

A little girl has 9 coins in her pocket. She has one 10-cent coin, two 50-cent coins and six \$1 coins. To pay for a drink which costs \$1.50, she randomly takes out a coin from her pocket. If the coin is a 10-cent coin, it is put back into the pocket. Then, she takes out the next coin.

1. Complete the tree diagram.[1]
2. Given that the first coin is a 50-cent coin, find the probability that the second coin is a \$1 coin.[1]
3. Find the probability that she will have enough to pay for her drink after randomly taking out a coin twice.[2]