Question

1. at a summer fair, the probability that a visitor eats funnel cake and rides the rollercoaster is 0.48. the probability that a visitor eats funnel cake is 0.61. what is the probability (rounded to the nearest hundredth) that a visitor rides the rollercoaster given that they ate funnel cake? 0.67 0.55 0.79 0.84

Explanation:

Step1: Recall conditional probability formula

The formula for conditional probability is $P(A|B) = \frac{P(A \cap B)}{P(B)}$, where $A$ is "rides rollercoaster", $B$ is "eats funnel cake".

Step2: Substitute given values

We know $P(A \cap B)=0.48$ and $P(B)=0.61$. Substitute into the formula:
$P(A|B) = \frac{0.48}{0.61}$

Step3: Calculate and round result

Compute the division: $\frac{0.48}{0.61} \approx 0.7869$, rounded to the nearest hundredth is $0.79$.

Answer:

0.79