QuestionJordan has 3 pairs of Nike and 4 pairs of Timberland shoes. What is the probability of choosing a Timberland pair? Round to three decimals.

Studdy Solution

STEP 1

Assumptions1. Jordan has3 pairs of Nike shoes. Jordan has4 pairs of Timberland shoes3. Jordan chooses a pair of shoes at random

STEP 2

First, we need to find the total number of pairs of shoes Jordan has. We can do this by adding the number of Nike shoes to the number of Timberland shoes.
$Total\, pairs\, of\, shoes = Number\, of\, Nike\, shoes + Number\, of\, Timberland\, shoes$

STEP 3

Now, plug in the given values for the number of Nike shoes and Timberland shoes to calculate the total number of pairs of shoes.
$Total\, pairs\, of\, shoes =3 +$

STEP 4

Calculate the total number of pairs of shoes.
$Total\, pairs\, of\, shoes =3 +4 =7$

STEP 5

Now that we have the total number of pairs of shoes, we can find the probability that Jordan will choose a Timberland pair. This is done by dividing the number of Timberland shoes by the total number of pairs of shoes.
$Probability\, of\, choosing\, a\, Timberland\, pair = Number\, of\, Timberland\, shoes / Total\, pairs\, of\, shoes$

STEP 6

Plug in the values for the number of Timberland shoes and the total number of pairs of shoes to calculate the probability.
$Probability\, of\, choosing\, a\, Timberland\, pair =4 /$

STEP 7

Now, we need to convert the fraction to a decimal. We can do this by dividing the numerator by the denominator.
$Decimal\, probability =4 /7$

STEP 8

Calculate the decimal probability.
$Decimal\, probability =4 /7 =0.5714285714$

STEP 9

Finally, we need to round the decimal probability to three decimal places.
$Rounded\, decimal\, probability =.571$ The probability that Jordan will choose a Timberland pair at random is.571.

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QuestionJordan has 3 pairs of Nike and 4 pairs of Timberland shoes. What is the probability of choosing a Timberland pair? Round to three decimals.

Studdy Solution

STEP 1

Assumptions1. Jordan has3 pairs of Nike shoes. Jordan has4 pairs of Timberland shoes3. Jordan chooses a pair of shoes at random

STEP 2

First, we need to find the total number of pairs of shoes Jordan has. We can do this by adding the number of Nike shoes to the number of Timberland shoes.
$Total\, pairs\, of\, shoes = Number\, of\, Nike\, shoes + Number\, of\, Timberland\, shoes$

STEP 3

Now, plug in the given values for the number of Nike shoes and Timberland shoes to calculate the total number of pairs of shoes.
$Total\, pairs\, of\, shoes =3 +$

STEP 4

Calculate the total number of pairs of shoes.
$Total\, pairs\, of\, shoes =3 +4 =7$

STEP 5

STEP 6

Plug in the values for the number of Timberland shoes and the total number of pairs of shoes to calculate the probability.
$Probability\, of\, choosing\, a\, Timberland\, pair =4 /$

STEP 7

Now, we need to convert the fraction to a decimal. We can do this by dividing the numerator by the denominator.
$Decimal\, probability =4 /7$

STEP 8

Calculate the decimal probability.
$Decimal\, probability =4 /7 =0.5714285714$

STEP 9

Finally, we need to round the decimal probability to three decimal places.
$Rounded\, decimal\, probability =.571$ The probability that Jordan will choose a Timberland pair at random is.571.

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QuestionJordan has 3 pairs of Nike and 4 pairs of Timberland shoes. What is the probability of choosing a Timberland pair? Round to three decimals.

Studdy Solution

STEP 1

Assumptions1. Jordan has3 pairs of Nike shoes. Jordan has4 pairs of Timberland shoes3. Jordan chooses a pair of shoes at random

STEP 2

STEP 3

Now, plug in the given values for the number of Nike shoes and Timberland shoes to calculate the total number of pairs of shoes.Total pairs of shoes=3+Total\, pairs\, of\, shoes =3 +Totalpairsofshoes=3+

STEP 4

Calculate the total number of pairs of shoes.Total pairs of shoes=3+4=7Total\, pairs\, of\, shoes =3 +4 =7Totalpairsofshoes=3+4=7

STEP 5

STEP 6

Plug in the values for the number of Timberland shoes and the total number of pairs of shoes to calculate the probability.Probability of choosing a Timberland pair=4/Probability\, of\, choosing\, a\, Timberland\, pair =4 /ProbabilityofchoosingaTimberlandpair=4/

STEP 7

Now, we need to convert the fraction to a decimal. We can do this by dividing the numerator by the denominator.Decimal probability=4/7Decimal\, probability =4 /7Decimalprobability=4/7

STEP 8

Calculate the decimal probability.Decimal probability=4/7=0.5714285714Decimal\, probability =4 /7 =0.5714285714Decimalprobability=4/7=0.5714285714

STEP 9

Finally, we need to round the decimal probability to three decimal places.Rounded decimal probability=.571Rounded\, decimal\, probability =.571Roundeddecimalprobability=.571The probability that Jordan will choose a Timberland pair at random is.571.

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Now, plug in the given values for the number of Nike shoes and Timberland shoes to calculate the total number of pairs of shoes.
$Total\, pairs\, of\, shoes =3 +$

Calculate the total number of pairs of shoes.
$Total\, pairs\, of\, shoes =3 +4 =7$

Plug in the values for the number of Timberland shoes and the total number of pairs of shoes to calculate the probability.
$Probability\, of\, choosing\, a\, Timberland\, pair =4 /$

Now, we need to convert the fraction to a decimal. We can do this by dividing the numerator by the denominator.
$Decimal\, probability =4 /7$

Calculate the decimal probability.
$Decimal\, probability =4 /7 =0.5714285714$

Finally, we need to round the decimal probability to three decimal places.
$Rounded\, decimal\, probability =.571$ The probability that Jordan will choose a Timberland pair at random is.571.