Math

QuestionA group of students' grades is summarized. Find the probability of randomly selecting a student who got an A: 1957\frac{19}{57} or round to three decimal places.

Studdy Solution

STEP 1

Assumptions1. The total number of students is57. . The number of students who got an A is19.
3. Each student has an equal chance of being selected.

STEP 2

The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes. In this case, the event is a student getting an A, and the total number of outcomes is the total number of students.
Probability=NumberofwaystheeventcanoccurTotalnumberofoutcomesProbability = \frac{Number\, of\, ways\, the\, event\, can\, occur}{Total\, number\, of\, outcomes}

STEP 3

Now, plug in the given values for the number of ways the event can occur (the number of students who got an A) and the total number of outcomes (the total number of students) to calculate the probability.
Probability=1957Probability = \frac{19}{57}

STEP 4

Calculate the probability.
Probability=19570.333Probability = \frac{19}{57} \approx0.333The probability that a randomly selected student got an A is approximately0.333 or33.3%.

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