Worked Example 5
Worked Example 5
TGM Original Questions
Free
Ava and Barry play a game containing one green marble and two red marbles. Each player intron randomly selects a marble from the bag, notes its colour and replaces it. Ava wins the game if she selects a green marble. Barry wins the game if he selects a red marble. Ava starts the game.
- Find the probability that Ava wins on her first turn.
- Find the probability that Barry wins on his first turn.
- Find the probability that Ava wins in one of her first three turns.
- Find the probability that Ava eventually wins.
Video Solution:
Default solution
Answer:(a) \(\displaystyle\frac{1}{3}\); (b) \(\displaystyle\frac{4}{9}\); (c) \(\displaystyle\frac{103}{243}\); (d) \(\displaystyle\frac{3}{7}\)
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