Respuesta :
Answer:
The probability of spinning red with the spinner or rolling an odd number with the die is [tex]\dfrac{1}{8}[/tex]
Explanation:
Given that,
Total color in spinner = 4
Let the area of four parts is equal in the spinner.
We need to calculate the probability of spinning red
Using formula of probability
[tex]P(A) = \dfrac{Number\ of\ red\ color\ outcome}{Total\ number\ of\ colors\ in\ the\ spinner}[/tex]
Put the value into the formula
[tex]P(A)=\dfrac{1}{4}[/tex]
We need to calculate the probability of odd number of the die
Using formula of probability
[tex]P(B) = \dfrac{Number\ of\ odd\ digits\ outcome}{Total\ number\ of\ digits\ in\ the\ die}[/tex]
Put the value into the formula
[tex]P(B)=\dfrac{3}{6}[/tex]
[tex]P(B)=\dfrac{1}{2}[/tex]
We need to calculate the probability of spinning red with the spinner or rolling an odd number with the die
Using formula of probability of two events which is independent
[tex]P(A\ and\ B)=P(A)\times P(B)[/tex]
Put the value into the formula
[tex]P(A\ and\ B)=\dfrac{1}{4}\times\dfrac{1}{2}[/tex]
[tex]P(A\ and\ B)=\dfrac{1}{8}[/tex]
Hence, The probability of spinning red with the spinner or rolling an odd number with the die is [tex]\dfrac{1}{8}[/tex]
