Question

Suppose a jar contains 15 red marbles and 19 blue marbles. If you reach in the jar and pull out 2 marbles at random at the same time, find the probability that both are red.

Answer 1

Answer:    $\bold{\dfrac{35}{187}}$

Step-by-step explanation:

1st marble  and   2nd marble

 $\dfrac{15\ red}{34\ total}$       $\times$        $\dfrac{14\ red}{33\ total}$           $=\dfrac{15\times 14}{34\times 33}=\dfrac{5\times 7}{17\times 11}= \boxed{\dfrac{35}{187}}$