The probability that Molly wins a prize = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Step 1 :
No. of wheels of in the giant spinning wheel = 12
Since each section is of the same size , the probability of the wheel stopping on any number is the same.
Numbers which Molly has = 2,5,11
The probability of the wheel stopping at either 2,5 or 11 is the same
Step 2:
Total number of favorable outcomes = Number of the numbers Molly has = 3 [2,5,11]
Total sample space = 12 (because the wheels are numbered from 1 to 12)
Hence the probability the wheel stops at the numbers molly has = Number of favorable outcomes ÷ the total numbers in the sample space
= [tex]\frac{3}{12}[/tex] = [tex]\frac{1}{4}[/tex]
Step 3 :
Answer :
The probability that Molly wins a prize = [tex]\frac{1}{4}[/tex]
The probability that Molly wins in 1/4
Step-by-step explanation:
number of marked numbers in the spinning wheel =12
therefore the sample space has 12 entries
n(S)=12
She wins when 2,5 or 11 appears on the wheel.
E={2,5,11}
n(E)=3
P(winning)=n(E)/n(S)=3/12=1/4
