Respuesta :
This question is incomplete
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?
Answer:
(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 Ă— 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 Ă— 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 Ă— 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 Ă— 11) +(27 Ă— 9)/702
= 529/702
