Probability

Question

Leann has a blue velvet bag that contains 10 diamonds and 8 sapphires. She draws one gem at random and does not replace it. Then she draws a second gem at random what is the probability that she draws a diamond first and sapphire second? 

Answer 1

P(diamond) = 10/18.

P(sapphire next) = 8/17.

 

P(diamond, then sapphire) = (5/9)(8/17) = 40/153