65 baseball cards are in a box. 19 of them are rookie cards. A card is randomly drawn from the box. Without replacing the first one, a second card is drawn. What is the probability that both of the cards drawn are rookie cards? Round your answer to the nearest hundredth.

To find the probability that both cards drawn are rookie cards, we need to consider the probability of drawing a rookie card on the first draw and then the probability of drawing a rookie card on the second draw without replacing the first card. Given: - Total number of baseball cards in the box = 65 - Number of rookie cards = 19 Let's calculate the probability of drawing a rookie card on the first draw: \[ P(\text{Rookie card on first draw}) = \frac{19}{65} \] Now, we need to calculate the probability of drawing a rookie card on the second draw without replacing the first card: \[ P(\text{Rookie card on second draw}) = \frac{18}{64} \] The probability that both cards drawn are rookie cards is the product of these two probabilities: \[ P(\text{Both cards are rookie cards}) = P(\text{Rookie card on first draw}) \times P(\text{Rookie card on second draw}) \] Let's calculate this probability. Calculate the value by following steps: - step0: Calculate: \(\frac{19}{65}\left(\frac{18}{64}\right)\) - step1: Reduce the fraction: \(\frac{19}{65}\times \frac{9}{32}\) - step2: Multiply the fractions: \(\frac{19\times 9}{65\times 32}\) - step3: Multiply: \(\frac{171}{2080}\) The probability that both cards drawn are rookie cards is approximately 0.0822.