Answer:
1/2
Step-by-step explanation:
spun twice=8+8=16 total numbers
prime numbers: 2,3,5,7
sum of prime number: 4
spun twice: 4+4=8
probability: prime total/total numbers
probability: 8/16 = 1/2.
The probability of spinning two prime numbers, when the spinner below is spun two times in a row, is 1/4.
For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
Here, P(A|B) is probability of occurrence of A given that B already occurred.
The spinner below is spun two times in a row. Here,
The probability of appearing a prime number in one spin is,
[tex]P(A)=\dfrac{4}{8}\\P(A)=\dfrac{1}{2}[/tex]
For the second spin,
[tex]P(B)=\dfrac{4}{8}\\P(B)=\dfrac{1}{2}[/tex]
The probability of spinning two prime numbers in two times by the chain rule is,
[tex]\dfrac{1}{2}\times\dfrac{1}{2}=\dfrac{1}{4}[/tex]
Thus, the probability of spinning two prime numbers when the spinner below is spun two times in a row, is 1/4.
Learn more about chain rule here:
https://brainly.com/question/21081988
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