Answer:
1/45
Step-by-step explanation:
The possible dates in the month of June a numbers from 1 to 30. Of those 30 numbers, the multiples of 8 are: 8, 16, 24. There are 3 multiples of 8 out of 30 possible numbers.
The word SUPERSTAR has 9 letters. Two of the nine letters are S.
p(multiple of 8 followed by S) =
= p(multiple of 8) * p(S)
= 3/30 * 2/9
= 1/10 * 2/9
= 2/90
= 1/45
The probability of getting a multiple of 8, then S is 1/45.
A date in the month of June is selected, then a letter from the word SUPERSTAR is chosen.
What is the probability of getting a multiple of 8, then S?
A date in the month of June is selected.
The dates between 1 June to 30 June then the dates are the multiple of 8 are;
8, 16, 24
The word SUPERSTAR has 9 letters.
There are two of the nine letters are S.
Therefore,
The probability of getting a multiple of 8, then S is;
[tex]\rm = P(multiple\ of \ 8) \times P( word \S)\\ \\ = \dfrac{Dates \ are \ multiple \ of \ 8}{Total \ dates \ in \ June} \times [/tex][tex]\rm \dfrac{Total \ number \ of \ S \ word }{ Total \ number \ of \ words}[/tex]
[tex]\rm= \dfrac{3}{30}\times \dfrac{2}{9}\\ \\ = \dfrac{6}{270}\\ \\ = \dfrac{2}{90}\\ \\ = \dfrac{1}{45}[/tex]
Hence, The probability of getting a multiple of 8, then S is 1/45.
To know more about Probability click the link given below.
https://brainly.com/question/1382976
