Question

calculate the probability of drawing an orange, followed by another orange marble. no replacement. what is the probability of drawing an orange marble? ?/10 × 2/ = / = /

Explanation:

Step1: Determine initial probability of orange

There are 3 orange marbles out of 10 total marbles. So the probability of drawing an orange marble first is $\frac{3}{10}$.

Step2: Determine second - draw probability

After drawing one orange marble without replacement, there are 2 orange marbles left out of 9 total marbles. So the probability of drawing an orange marble second is $\frac{2}{9}$.

Step3: Calculate combined probability

We multiply the probabilities of the two events. $\frac{3}{10}\times\frac{2}{9}=\frac{6}{90}=\frac{1}{15}$.

Answer:

$\frac{1}{15}$