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3 years ago

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Benjamin has to wear a uniform to school. His uniform is made up of tan or blue pants and a blue or white collared shirt. Benjam

in has 2 pair of blue pants, 2 pair of tan pants, 3 white shirts, and 2 blue shirts. How many combinations can be made with the clothes Benjamin has to choose from? What is the probability that he will wear his favorite combination, tan pants and a white shirt?

1 answer:

oee [108]3 years ago

3 0

Explanation:

As his uniform is made up of tan or blue pants and a blue or white collared shirt.

So, there are possibly four combinations which are as follows:

tan pants/blue shirt
tan pants/white shirt
blue pants/blue shirt
blue pants/white shirt

As Benjamin carries an extra piece of white shirt. So, he has a little bit better than 25% chance of wearing his favorite combination.

So,

Probability of getting tan pants = 2/4 = 1/2
Probability of getting white shirt = 3/5

The probability of getting both can be computed by simply multiplying 2/4 and 3/5.

So,

Probability of getting both = 1/2 × 3/5 = 3/10 ⇒ 30%

<em>Keywords: probability, chance</em>

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Step-by-step explanation:

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$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

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$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

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3 years ago

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Answer:

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Step-by-step explanation:

Step 1 - Setup

First, we set up the mixed number 9 3/4 with different colors, so it is easy to follow along:

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Step 2 - Multiply

Next, we multiply the whole number by the denominator.

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Step 3 - Add Numerator

Then, we add the numerator to the answer we got in Step 2.

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Step 4 - Solution

Finally, to get the solution, we keep the original denominator and make the numerator the answer from Step 3. Thus, 9 3/4 as an improper fraction is:

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