Math

QuestionMartha has 17 CDs (5 rock, 3 blues, 6 pop, 3 R&B). What’s the probability of picking a blues CD? Simplify your answer.

Studdy Solution

STEP 1

Assumptions1. The total number of CDs is17. The number of blues CDs is33. Martha pulls out one CD at random4. Each CD has an equal chance of being selected

STEP 2

The probability of an event happening is calculated by dividing the number of ways the event can happen by the total number of outcomes. In this case, the event is pulling out a blues CD, and the total number of outcomes is the total number of CDs.
Probability=NumberofbluesCDsTotalnumberofCDsProbability = \frac{Number\, of\, blues\, CDs}{Total\, number\, of\, CDs}

STEP 3

Now, plug in the given values for the number of blues CDs and the total number of CDs to calculate the probability.
Probability=317Probability = \frac{3}{17}

STEP 4

This is the probability in fraction form. To convert this to a decimal, divide the numerator by the denominator.
Probability=3170.176Probability = \frac{3}{17} \approx0.176

STEP 5

Round the decimal to the nearest thousandths place.
Probability0.176Probability \approx0.176The probability that Martha pulls out a blues CD is approximately0.176 or3/17 in fraction form.

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