Math Snap

STEP 1

Assumptions1. The total number of students is65.
. The number of students who got a "B" is11.
3. The student is chosen at random, so each student has an equal chance of being chosen.

STEP 2

First, we need to find the number of students who did NOT get a "B". We can do this by subtracting the number of students who got a "B" from the total number of students.
$$Number\, of\, students\, who\, did\, NOT\, get\, a\, "B" = Total\, number\, of\, students - Number\, of\, students\, who\, got\, a\, "B"$$

STEP 3

Now, plug in the given values for the total number of students and the number of students who got a "B" to calculate the number of students who did NOT get a "B".
$$Number\, of\, students\, who\, did\, NOT\, get\, a\, "B" =65 -11$$

STEP 4

Calculate the number of students who did NOT get a "B".
$$Number\, of\, students\, who\, did\, NOT\, get\, a\, "B" =65 -11 =54$$

STEP 5

Now that we have the number of students who did NOT get a "B", we can find the probability that a student chosen at random did NOT get a "B". This is the ratio of the number of students who did NOT get a "B" to the total number of students.
$$Probability\, that\, a\, student\, did\, NOT\, get\, a\, "B" = Number\, of\, students\, who\, did\, NOT\, get\, a\, "B" / Total\, number\, of\, students$$

STEP 6

Plug in the values for the number of students who did NOT get a "B" and the total number of students to calculate the probability.
$$Probability\, that\, a\, student\, did\, NOT\, get\, a\, "B" =54 /65$$

Calculate the probability that a student chosen at random did NOT get a "B".
$$Probability\, that\, a\, student\, did\, NOT\, get\, a\, "B" =54 /65 \approx0.831$$The probability that a student chosen at random did NOT get a "B" is approximately0.831 or831/1000 when rounded to three decimal places.