All categories

2 years ago

If you roll two fair six-sided dice what is the probability that the sum is:

Mathematics

1 answer:

blsea [12.9K]2 years ago

6 0

Answer: If you roll two fair six-sided dice, the probability that the sum is 5 or lower is 5/18.

Explanation: Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

For an experiment having n number of outcomes, the number of favorable outcomes can be denoted by x

Let ‘x’ be the number on the first dice.

‘Y’ be the number on second dice.

We have to find the probability that the sum is 5 or lower i.e. (x + y) <= 5.

Total number of possible results from two six-sided dice is 6 × 6 = 36.

The possible results that the sum is lower than 4 is (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2) and (4,1).

Number of possible results for the sum is 5 or lower is 10.

The probability that the sum is 5 or lower = 10/36

=5/18

Therefore, the probability that the sum is 5 or lower is 5/18.

You might be interested in

Solve for x. Round your answer to the nearest hundredth.<br> 15.56x - 200 < 758.92

jasenka [17]

Answer: x<61.63

Step-by-step explanation: Add 200 to both sides, giving you 15.56x<958.92 .

Than divide by 15.56 giving you x< x<61.627249

Round to the nearest hundredth giving you x<61.63

8 0

3 years ago

Read 2 more answers

The product of 16 and 4 less than a number is 208. Find the number.

svlad2 [7]

This is a word problem signifying an algebraic expression.

Translating this to mathematics:

$16x - 4 = 208$

add 4 to both sides.

$16x = 212$

divide 16 to both sides.

$x = \frac{212}{16}$

this is:

$x = 13.25$

5 0

3 years ago

There is a vendor at a carnival selling bags of cotton candy. Each bag of cotton candy has the same cost. She starts each day wi

umka21 [38]

Answer:

The cost of each cotton candy bag is $4.

Step-by-step explanation:

Consider the provided information.

Let, the vendor has $x$ dollar at the starting of each day.

Let, the cost of each cotton candy bag is $y$ .

Now when she sells a total of 12 bags, she has $128.

$x+12y=128$ .....(1)

After she sells a total of 20 bags, she has $160.

$x+20y=160$ ....(2)

Subtract equation 1 from equation 2.

$(x+20y)-(x+12y)=160-128$

$8y=32$

$y=4$

Hence, the cost of each cotton candy bag is $4.

6 0

3 years ago

there are 2 dozen calories in a candy bar. Jason ate 8 candy bars.How many calories are there in 21 candy bars

kifflom [539]

504
............................................................

8 0

3 years ago

Read 2 more answers

Identify the vertex, axis of symmetry, maximum, or minimum, domain and range of each function.

Fynjy0 [20]

Answer: see below

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

The vertex form of a quadratic equation is: y = a(x - h)² + k where

"a" is the vertical stretch (positive = min [U], negative = max [∩])
(h, k) is the vertex
Axis of Symmetry is always: x = h
Domain is always: x = All Real Numbers
Range is y ≥ k when "a" is positive or y ≤ k when "a" is negative

a) y = 2(x - 2)² + 5

↓ ↓ ↓

a= + h= 2 k= 5

Vertex: (h, k) = (2, 5)

Axis of Symmetry: x = h → x = 2

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range: y ≥ k → y ≥ 5

b) y = -(x - 1)² + 2

↓ ↓ ↓

a= - h= 1 k= 2

Vertex: (h, k) = (1, 2)

Axis of Symmetry: x = h → x = 1

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range: y ≤ k → y ≤ 2

c) y = -(x + 4)² + 0

↓ ↓ ↓

a= - h= -4 k= 0

Vertex: (h, k) = (-4, 0)

Axis of Symmetry: x = h → x = -4

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range: y ≤ k → y ≤ 0

d) y = 1/3(x + 2)² - 1

↓ ↓ ↓

a= + h= -2 k= -1

Vertex: (h, k) = (-2, -1)

Axis of Symmetry: x = h → x = -2

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range: y ≥ k → y ≥ -2

6 0

3 years ago