## A bag of tulip bulbs contains red tulip​ bulbs, yellow tulip​ bulbs, and purple tulip bulbs. Suppose two tulip bulbs are randomly selected w

Question

A bag of tulip bulbs contains red tulip​ bulbs, yellow tulip​ bulbs, and purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. ​(a) What is the probability that the two randomly selected tulip bulbs are both​ red? ​(b) What is the probability that the first bulb selected is red and the second​ yellow? ​(c) What is the probability that the first bulb selected is yellow and the second​ red? ​(d) What is the probability that one bulb is red and the other​ yellow?

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1 month 2021-08-07T20:16:01+00:00 1 Answers 3 views 0

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Complete Question

A bag of 27 tulip bulbs contains 11 red tulip​ bulbs, 9 yellow tulip​ bulbs, and 7 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. ​(a) What is the probability that the two randomly selected tulip bulbs are both​ red? ​(b) What is the probability that the first bulb selected is red and the second​ yellow? ​(c) What is the probability that the first bulb selected is yellow and the second​ red? ​(d) What is the probability that one bulb is red and the other​ yellow?

(a) 55/351

(b) 11/78

(c) 11/78

(d)529/702

Step-by-step explanation:

Total number of tulips = 27

Red tulip​ bulbs = 11

Yellow tulip​ bulbs = 9

Purple tulip bulbs = 7

Note that this probability is without replacement

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

Probability (that both are red)

= 11/27 × 10/26

= 55/351

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

Probability (that the first is red and the second is yellow)

= 11/27 × 9/26

= 99/702

= 11/78

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

Probability (that the first bulb selected is yellow and the second red)

9/27 × 11/26

= 99/702

= 11/78

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

= Probability( that one bulb is red and the other yellow)

= 11/27 + 9/26

= (26 × 11) +(27 × 9)/702

= 529/702