4. A bag of 30 tulip bulbs contains 10 red tulip bulbs, 11 yellow tulip bulbs, a

ID: 3359208 • Letter: 4

Question

4. A bag of 30 tulip bulbs contains 10 red tulip bulbs, 11 yellow tulip bulbs, and 9 purple tulip bulbs.

(a) What is the probability that two randomly selected tulip bulbs are both red?

(Round to three decimal places as needed.)

(b) What is the probability that the first bulb selected is red and the second yellow?

(Round to three decimal places as needed.)

(c) What is the probability that the first bulb selected is yellow and the second red?

(Round to three decimal places as needed.)

(d) What is the probability that one bulb is red and the other yellow?

(Round to three decimal places as needed.)

Toatl tulip bulbs=30 (10 red , 11 yellow, 9 purple)

a) we choose 2 tulips, then the possible cases =30C2 =435

probability that two randomly selected tulip bulbs are both red =(10C2)/30C2 =45/435 =0.103

b) probability that the first bulb selected is red and the second yellow =(10C1 * 11C1) /30C2 =0.253

c) probability that the first bulb selected is yellow and the second red =(11 C1 *10C1)/30C2 =0.253

d) probability that one bulb is red and the other yellow =

I.e, first red and second yellow or first yellow and second red

then the req probability =0.253+0.253 =0.506

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