what is the probability of the complement of spinning an even number by using the spinner below?\n3/8\n1/2\n5…
what is the probability of the complement of spinning an even number by using the spinner below?\n3/8\n1/2\n5/8
Answer
Explanation:
Step1: Count total sections
The spinner has 8 sections.
Step2: Count even - numbered sections
The even - numbered sections are 2, 4, 2, so there are 3 even - numbered sections.
Step3: Calculate probability of spinning an even number
The probability of spinning an even number $P(E)=\frac{3}{8}$.
Step4: Calculate probability of the complement
The probability of the complement $P(\overline{E}) = 1 - P(E)$. So $P(\overline{E})=1-\frac{3}{8}=\frac{5}{8}$.
Answer:
$\frac{5}{8}$