QuestionWhat is the probability of selecting a page number from 1 to 50 that is not a multiple of 4? Provide your answer in reduced fraction form.

Studdy Solution

STEP 1

Assumptions1. The document contains pages numbered1 through50. . Each page has an equal probability of being selected.
3. We need to find the probability of selecting a page that is not a multiple of4.

STEP 2

First, we need to find the total number of pages in the document. In this case, it is given as50.
$Total\, pages =50$

STEP 3

Next, we need to find the total number of pages that are multiples of. We can do this by dividing the total number of pages by and rounding down to the nearest whole number.
$Multiples\, of\, = \lfloor Total\, pages / \rfloor$

STEP 4

Now, plug in the given value for the total number of pages to calculate the number of pages that are multiples of4.
$Multiples\, of\,4 = \lfloor50 /4 \rfloor$

STEP 5

Calculate the number of pages that are multiples of4.
$Multiples\, of\,4 = \lfloor50 /4 \rfloor =12$

STEP 6

Now that we have the number of pages that are multiples of4, we can find the number of pages that are not multiples of4 by subtracting the multiples of4 from the total number of pages.
$Not\, multiples\, of\,4 = Total\, pages - Multiples\, of\,4$

STEP 7

Plug in the values for the total number of pages and the multiples of4 to calculate the number of pages that are not multiples of4.
$Not\, multiples\, of\,4 =50 -12$

STEP 8

Calculate the number of pages that are not multiples of4.
$Not\, multiples\, of\,4 =50 -12 =38$

STEP 9

Now that we have the number of pages that are not multiples of4, we can find the probability of selecting one of these pages. The probability is the number of favorable outcomes (not multiples of4) divided by the total number of outcomes (total pages).
$Probability = Not\, multiples\, of\,4 / Total\, pages$

STEP 10

Plug in the values for the not multiples of4 and the total number of pages to calculate the probability.
$Probability =38 /50$

STEP 11

Reduce the fraction to its simplest form.
$Probability =38 /50 =19 /25$ The probability that the lawyer will flip to a page number that is not a multiple of4 is19/25.

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