Question

Suppose a jar contains 16 red marbles and 35 blue marbles. If you reach in the jar and pull out 2 marbles at random, find the probability that both are red. Write your answer as a reduced fraction.

Answer 1

The possibility of drawing two red marbles from the jar is 1/17.

Explanation:

To find the probability of drawing two red marbles from a jar containing 16 red marbles and 35 blue marbles, we can use the formula for probability of independent events:

P(A and B) = P(A) * P(B)

P(A and B) = P(A) * P(B) P(A and B) = (16/51) * (15/50) P(A and B) = 0.05882352941

To write this as a reduced fraction, we can simplify it by dividing both the numerator and denominator by their greatest common factor (GCF), which is 17:

P(A and B) = 0.05882352941 P(A and B) = 1/17

I hope that helps!