Answer:
The probability the 2 randomly chosen bulbs selected are both red is 0.183
Step-by-step explanation:
No. of red tulip bulbs = 14
No. of yellow tulip bulbs = 9
No. of purple tulip bulbs = 2
Total number of bulbs in a bag = 32
Probability of getting red bulb on first draw =[tex]\frac{14}{32}[/tex]
Now the bulb is not replaced
So, Total bulbs = 32-1 =31
No. of red tulip bulbs = 14-1 = 13
Probability of getting red bulb on second draw = [tex]\frac{13}{31}[/tex]
So,Probability of getting both red bulbs without replacement = [tex]\frac{14}{32} \times \frac{13}{31}=0.183[/tex]
Hence The probability the 2 randomly chosen bulbs selected are both red is 0.183