Question

Abag of 32 tulip bulbs contain 14 red tulip bulbs,9 yellow tulip bulbs,9 purple bulbs.Suppose 2 bulbs are selected rsndomly without replacement from the bag a) what is the probsnility the 2 tmrandomly chosen bulbs selected are both red?

Answer 1

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 =$\frac{14}{32}$

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 = $\frac{13}{31}$

So,Probability of getting both red bulbs without replacement = $\frac{14}{32} \times \frac{13}{31}=0.183$

Hence The probability the 2 randomly chosen bulbs selected are both red is 0.183