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3 years ago

a fair (6 sided) die is rolled TWO times. What is the probability that the first die is a 2 or the second die is a prime

Mathematics

1 answer:

alexdok [17]3 years ago

4 0

Answer:

The probability that the first die is a 2 or the second die is a prime = 1/12

Step-by-step explanation:

It is given that,a fair (6 sided) die is rolled TWO times.

The sample space for rolling 2 dies

(1, 1), (1, 2) .......... (1,6)

(2,1) ..........................

(6, 1) ..........................(6, 6)

There are total of 6^2 = 36 sample space

<u>To find the probability</u>

The prime numbers from 1 to 6 are 2, 3 and 5

the possible outcomes are(2,1), (2, 3) and (2, 5)

The probability that the first die is a 2 or the second die is a prime = 3/36 = 1/12

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wlad13 [49]

Amount of flour used in bread recipe = $3 \frac{1}{4}$ cups

Amount of flour used in muffin recipe = $2 \frac{3}{4}$ cups

We have to determine how much more flour is in the recipe.

Since, more amount of flour is used in bread recipe than in muffin recipe.

Total amount of more flour = $3 \frac{1}{4} - 2 \frac{3}{4}$

= $\frac{13}{4} - \frac{11}{4}$

= $\frac{2}{4}$

= $\frac{1}{2}$

Therefore, $\frac{1}{2}$ more cup of flour is used in bread recipe than in muffin recipe.

Now, we will determine the total amount of flour used in both recipe.

Total amount of flour used in bread and muffin recipe

= $3 \frac{1}{4} + 2 \frac{3}{4}$

= $\frac{13}{4} + \frac{11}{4}$

= $\frac{24}{4}$

= 6 cups

Therefore, total 6 cups of flour are used in both the recipes.

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