All categories

3 years ago

Tom rolls 2 fair dice and adds the results from each. Work out the probability of getting a total that is a factor of 21.

Mathematics

1 answer:

Ber [7]3 years ago

5 0

The probability of getting a total that is a factor of 21 is 0.22

Explanation:

Factor of 21 is = 1, 3, 7, 21

Out of all the factors of 21, we cannot get 21 when the two die are rolled as the maximum sum that can be obtained is 12

The possible combinations are:

(1,2) (1,6)

(2,1) (2,5)

(3,4)

(4,3)

(5,2)

(6,1)

Total outcome = 6 X 6

= 36

Number of outcomes that is the factor of 21 is 8

The probability of getting a total that is a factor of 21 is $\frac{8}{36}$

p(21) = 0.22

Therefore, the probability of getting a total that is a factor of 21 is 0.22

You might be interested in

Arthur baked 1 7/12 dozen muffins. Nina baked 1 1/12 dozen muffins. How many dozen muffins did they bake in all?

Andre45 [30]

2 8/12 or 2.7 dozen muffins

8 0

2 years ago

Sara had 94 dollars to spend on 8 books. After buying them she had 14 dollars. How much did each book cost

cestrela7 [59]

Answer: $10

Step-by-step explanation:

Let's analize the information given: We know that she had $94 to spend on 8 books and after buying these books she had $14. So, we need to calculate the amount of money she spent. Subtract $94 and $14:

$Total\ spent=\$94-\$14\\Total\ spent=\$80$

Then, to calculate the cost of each book, we need to divide the "Total spent" by 8:

$cost\ of\ each\ book=\frac{Total\ spent}{8}\\\\cost\ of\ each\ book=\frac{\$80}{8}\\\\cost\ of\ each\ book=\$10$

3 0

2 years ago

At the start of a tennis match Ivan had 28/32 quart of water in his water bottle. He drank water from the bottle during the matc

const2013 [10]

Answer:

5/8 of a quart.

Step-by-step explanation:

That would be 28/32 - 1/4

= 28/32 - 8 /32

= 20/32

= 5/8 of a quart.

5 0

3 years ago

6. If b>6, then 3b + 3 could be A. 18 B. 19 C. 20 D. 21 E. 22

Gala2k [10]

Answer:

E. 22

Step-by-step explanation:

Hello!

We know that b>6, and we are asked to find the possible values for 3b + 3.

Let's directly substitute 6 for b:

3(6) + 3
18 = 3
21

Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.

The correct option is E. 22.

7 0

1 year ago

in the second half of the game, the Wildcats again scored 18 points. This time, however, we don't know how many total shots were

Kobotan [32]

Lets start with the chain of 3's:

18 = 3 + 3 + 3 + 3 + 3 + 3

But, we know that

3 + 3 = 2 + 2 + 2

Sol, let's replace 3 + 3 by 2 + 2 + 2 one by one.

Hence, the possible ways of combinations are listed below:

18 = 3 + 3 + 3 + 3 + 2 + 2 + 2 (1)

18 = 3 + 3 + 2 + 2 + 2 + 2 + 2 + 2 (2)

Therefore, there are two combinations of 2- and 3- point shots that could total 18 points.

3 0

2 years ago