Question

calculate the probability of drawing a: red card, then drawing another red card, with no replacement. draw #1 draw #2 red cards: ? × red cards: total cards: 10 total cards: 9

Explanation:

Step1: Count red cards

There are 2 red cards out of 10 cards initially.

Step2: Calculate first - draw probability

The probability of drawing a red card on the first draw is $\frac{2}{10}$.

Step3: Calculate second - draw probability

After drawing one red card without replacement, there is 1 red card left out of 9 cards. So the probability of drawing a red card on the second draw is $\frac{1}{9}$.

Step4: Calculate combined probability

The probability of both events happening is the product of the probabilities of each event. So $P=\frac{2}{10}\times\frac{1}{9}=\frac{2}{90}=\frac{1}{45}$.

Answer:

$\frac{1}{45}$