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7nadin3 [17]
3 years ago
12

Find the probability that you roll the same number twice in a row when you toss two fair 6-sided dice.

Mathematics
1 answer:
marysya [2.9K]3 years ago
8 0

Answer: 6/36

Step-by-step explanation:

When tossing two number cubes, you can get such sample space

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

There are 36 possible outcomes. Only (1,1), (2,2), (3,3), (4,4), (5,5), and (6,6) use the same number twice.

Hence, the probability that you roll two numbers that are the same in a row is 6/36, or in simplified form, 1/6.

Hope that helps! :)

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3 years ago
On a 20 sided dice what is the probability that a 11 was rolled?
Sedbober [7]

Given:

A 20 sided dice is rolled.

To find:

The probability of getting 11.

Solution:

A 20 sided dice is rolled.

On a 20 sided dice, the possible outputs are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20.

Total number of outcomes = 20

Favorable outcomes or number of 11 = 1

Now,

\text{Probability of getting 11}=\dfrac{\text{Favorable outcomes}}{\text{Total number of outcomes}}

\text{Probability of getting 11}=\dfrac{1}{20}

\text{Probability of getting 11}=0.05

Therefore, the probability of getting 11 is 0.05.

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3 years ago
A família Oliveira consiste no pai, na mãe e em alguns filhos. A idade média da família é de 18 anos. Sem contar com o pai, que
Vladimir79 [104]

Answer: e) 6

Step-by-step explanation:

Let x be mother + children = 18

Father's age = 38

Average age of the family = 14

38 + 18x /( x + 1 )= 14

Opening the bracket

38 + 18x = 14x + 14

Collecting like terms

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3 0
3 years ago
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