Question

Joe King thinks he is "top notch" and buys a bouquet of flowers to pass out to all the ladies... The bouquet has 7 purple tulips, 9 yellow daisies and 12 pink roses. He grabs a flower from the bouquet and gives it to Anita Bath. Then Joe grabs another flower and gives it to Lois Price.

What is the probability that Anita and Lois both get a purple tulip?

Answer 1

Answer: The probability of Anita Bath getting a purple tulip on the first pick is 7/28 (since there are 7 purple tulips out of 28 total flowers in the bouquet). After the first pick, there are 27 flowers left in the bouquet, including 6 purple tulips.

The probability of Lois Price getting a purple tulip on the second pick, given that Anita Bath has already received a purple tulip, is 6/27. This is because there are 6 purple tulips left in the bouquet out of 27 flowers in total (since one purple tulip has already been removed).

Therefore, the probability of both Anita Bath and Lois Price getting a purple tulip is:

(7/28) * (6/27) = 42/756 = 7/126

So the probability that both Anita and Lois get a purple tulip is 7/126.