To find the probability that Jim buys a go-kart ticket given that he has already purchased a game of laser tag, we can use the concept of conditional probability.
Let:
- \( A \) be the event that a visitor purchases a game of laser tag.
- \( B \) be the event that a visitor purchases a go-kart ticket.
From the information given:
- \( P(A) = 0.43 \) (the probability that a visitor purchases a game of laser tag)
- \( P(A \cap B) = 0.39 \) (the probability that a visitor purchases both a game of laser tag and a go-kart ticket)
We want to find \( P(B | A) \), the probability that a visitor purchases a go-kart ticket given that they have purchased a game of laser tag. This can be calculated using the formula for conditional probability:
\[ P(B | A) = \frac{P(A \cap B)}{P(A)} \]
Substituting the known values:
\[ P(B | A) = \frac{0.39}{0.43} \]
Calculating \( \frac{0.39}{0.43} \):
\[ P(B | A) \approx 0.90697674 \]
Rounding this to the nearest hundredth:
\[ P(B | A) \approx 0.91 \]
Thus, the probability that Jim also buys a go-kart ticket, given that he has purchased a game of laser tag, is 0.91.