Answer:
P (Even number) = 1/2
P(spinner will land on an odd number) = 1/2
P(spinner will not land on 2 or 3) = 3/4
P(spinner will not land on a multiple of 3) = 3/4
Step-by-step explanation:
Here, while spinning the spinner total possible outcomes
are 8 = {1,2,3,4,5,6,7,8}
Now, [tex]\textrm{P(E)} = \frac{\textrm{Number of favorable outcomes }}{\textrm{Total numberof outcomes}}[/tex]
a) E: Probability of getting even number
Favorable outcomes are {2,4,6,8}
Hence, [tex]P(E) = \frac{4}{8} = \frac{1}{2}[/tex]
b)E: Probability that the spinner will land on an odd number.
Favorable outcomes are {1,3,5,7}
Hence, [tex]P(E) = \frac{4}{8} = \frac{1}{2}[/tex]
c) E: Probability that the spinner will not land on 2 or 3
Favorable outcomes are {1, 4,5,6,7,8}
Hence, [tex]P(E) = \frac{6}{8} = \frac{3}{4}[/tex]
d) E: Probability that the spinner will not land on a multiple of 3
Favorable outcomes are {1,2,4,5,7,8}
Hence, [tex]P(E) = \frac{6}{8} = \frac{3}{4}[/tex]
