Answer:
If a normal coin is picked then probability of flipping 5 heads = 0.031
Step-by-step explanation:
Given:
Number of coins = 500
Number of normal coins =499
Number of double headed coin = 1
Event A:
Pick a normal coin
Probability of event A to occur [tex]P(A)=\frac{Number\ of\ normal\ coins}{Total\ number\ of\ coins} =\frac{499}{500}[/tex]
Event B:
Normal coin is flipped 5 times to get head.
Probability of flipping one head at a time = [tex]\frac{1}{2}[/tex]
Probability of event B to occur (flipping 5 heads)
P(B) =[tex]\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{32}[/tex]
Probability of event A and B to occur together [tex]=P(A)\times P(B)=\frac{499}{500}\times \frac{1}{32}=0.031 [/tex]
If a normal coin is picked then probability of flipping 5 heads = 0.031
