All categories

2 years ago

Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 8?

Mathematics

1 answer:

Serhud [2]2 years ago

6 0

Answer: 5/18

Step-by-step explanation:

The sample space when two 6- sided dice are rolled is given below:

(+) 1 2 3 4 5 6

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

The total sample space is 36.

Sum greater than 8 are : {9,10,11,12}

which are 10 in number:

Therefore : the probability that the sum of the two numbers on the dice will be greater than 8 will be :

number of the sum greater than 8 / Total sample space

That is ;

P(sum greater than 8) = 10/36

P(sum greater than 8) = 5/18

You might be interested in

a company pays its employees and average hourly wage of 36.25 with a standard deviation of 6.50 more than 23.22 of 36 employees

Yuliya22 [10]

Answer:

P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %

Step-by-step explanation:

P [ X > 23,22 ] = 1 - P [X ≤ 23,22 ]

P [X ≤ 23,22 ] = ( X - μ₀ ) / σ /√n

P [X ≤ 23,22 ] = ( 23,22 - 36,25 )/ 6,50/√36

P [X ≤ 23,22 ] = - 13,03 *6 / 6,50

P [X ≤ 23,22 ] = - 12,02 or P [X ≤ 23,22 ] = 12,02 %

(note the - sign only mean that values on the left tail of the bell shape curve)

Then

P [ X > 23,22 ] = 1 - 0,1202

P [ X > 23,22 ] = 0,8798 or P [ X > 23,22 ] = 87,98 %

8 0

2 years ago

Algebra 2 <br><br> Simplify 3+i/2-i

Evgesh-ka [11]

3-i/2
Pls mark me brainliest

4 0

3 years ago

5(x+4)> 2x-7 solve the inequality

galina1969 [7]

Answer:

-9＞x

Step-by-step explanation:

5(x+4)＞2x-7

5x+20＞2x-7

5x+27＞2x

↓

5x+27＞2x

27＞-3x

↓

-3 -3

= -9＞x

3 0

3 years ago

Please help. I don't understand this. Thanks.

neonofarm [45]

Yes;k=-3 and y=-3x is the answer because 2 x -3 = -6 -3 x -3 = -9 and etc..

4 0

2 years ago

In the data set below, which of these points is most likely and outlier?

shusha [124]

<h2>Answer:</h2>

Option: D is the correct answer.

D. (2,54)

<h2>Step-by-step explanation:</h2>

We know that an outlier of a data set is the value that stands out of the rest of the data point i.e. either it is a too high value or a too low value as compared to other data points.

Here we are given a set of data points as:

(2,54)

(4,7)

(6, 9)

(8,12)

(10,15)

Hence, we see that the output values i.e. 7 in (4,7) ; 9 in (6,9) ; 12 in (8,12) and 15 in (10,15) are closely related.

Hence, the data point that is an outlier is:

(2,54)

(As 54 is a much high value as compared to other)

5 0

3 years ago