Question

calculate the probability of drawing a: green card, then drawing another green card, with no replacement. answer as a fraction in lowest terms. enter the numerator.

Explanation:

Step1: Count total and green cards

There are 10 cards in total and 5 green cards.

Step2: Calculate first - draw probability

The probability of drawing a green card on the first draw is $\frac{5}{10}=\frac{1}{2}$.

Step3: Calculate second - draw probability

After drawing one green card without replacement, there are 4 green cards left and 9 cards in total. So the probability of drawing a green card on the second draw is $\frac{4}{9}$.

Step4: Calculate combined probability

The probability of both events happening is the product of the probabilities of each event. So $P=\frac{1}{2}\times\frac{4}{9}=\frac{4}{18}=\frac{2}{9}$.

Answer:

2