Answer :
The probability that Gina randomly selected two red marbles is 1/19
Explanation:
Total number of marbles = 7 + 5 + 8
= 20
The probability of getting two red marbles in the fraction form is given as:
P(first red marble) = number of red marbles / total number of marbles
P(first red marble) = [tex]\frac{5}{20} = \frac{1}{4}[/tex]
P(second red marble) = number of red marbles after 1 white marble is removed / total number of marbles after 1 red marble is removed.
P(first red marble) = [tex]\frac{4}{19}[/tex]
P(two red marbles) = P(first) X P(second)
= [tex]\frac{1}{4} X \frac{4}{19}[/tex]
= [tex]\frac{1}{19}[/tex]
Therefore, the probability that Gina randomly selected two red marbles is 1/19