Ask question

Ask question

All categories

3 years ago

15

An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die i

s rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events. Event : The sum is greater than . Event : The sum is not divisible by .

1 answer:

mixer [17]3 years ago

7 0

Complete question :

Compute the probability of each of the following events.

Event : The sum is greater than 6

Event : The sum is not divisible by 2

Answer:

7/12 ; 1/2

Step-by-step explanation:

Sample space :

2, 3, 4, 5, 6, 7

3, 4, 5, 6, 7, 8

4, 5, 6, 7, 8, 9

5, 6, 7, 8, 9, 10

6, 7, 8, 9, 10, 11

7, 8, 9, 10, 11, 12

Probability that sum is greater than 6:

Number of outcomes greater Than 6 = required outcomes = (7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10,10,11,11,12) = 21

Total sample space = total possible outcomes = 36

Probability = required outcome / Total possible outcomes

P(sum is greater Than 6) = 21 / 36

2.)

Obtaining an even number :

Sum not divisible by 2 = required outcomes = (3, 5, 7, 3, 5, 7, 5, 7, 9, 5, 7, 9, 7, 9, 11, 7, 9, 11) = 18

Total sample space = total possible outcomes = 36

P(sum is not divisible by 2) = 18 / 36 = 1 / 2

You might be interested in

3(2x-7=5-(1-x) pls help me

vekshin1

Answer:

3 • (2x - 7) - (x + 4) = 0

then do 3.1 Pull out like factors :

5x - 25 = 5 • (x - 5)

5 • (x - 5) = 0

4.2 Solve : x-5 = 0

Add 5 to both sides of the equation :

x = 5

Step-by-step explanation:

7 0

2 years ago

Given the right triangle shown below.if Cos A =15/17 and tan A=8/15 which of the following represents the length of BC

otez555 [7]

Answer:

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

Step-by-step explanation:

Given:

Consider a right triangle ABC, Such that

$\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}$

To Find:

BC = ?

Solution:

In Right Angle Triangle ABC, Cosine and Tangent identity

$\cos A = \dfrac{\textrm{side adjacent to angle C}}{Hypotenuse}\\$

$\tan A= \dfrac{\textrm{side opposite to angle A}}{\textrm{side adjacent to angle A}}$

BUT,

$\cos A=\dfrac{15}{17}\\\\\tan A=\dfrac{8}{15}$ ....Given

On Comparing,

Adjacent side to angle A = AB = 15

Opposite side to angle A = BC = 8

Hypotenuse = AC =17

Also Pythagoras theorem is Satisfies,

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

$(\textrm{Hypotenuse})^{2} = 17^{2}=289$

$(\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}=15^{2}+8^{2}=289$

The Figure for Right triangle is below,

Therefore , 15 unit length represents BC.

7 0

3 years ago

a boat traveled 280 miles downstream and back. the trip downstream took 7 hours. the trip back took 14 hours. find the speed of

Harman [31]

40 mph on the way, 20 mph on the way back.

3 0

3 years ago

Malinda's family had walked 4/6 of a hiking trail. Owens family has walked 5/8 of another trail. Which family has walked farther

Yuri [45]

To answer this, we need to convert to the least common multiple.

The least common multiple of 2/3 and 5/8 is 24.

2 x 8 = 16 / 24

5 x 3 = 15 / 24

Malinda's family walked farther than Owen's family.

8 0

3 years ago

The graph below shows the depth of water in a river over a period of 10 days during what time span did the depth of the water re

vova2212 [387]

Correct answer:
days 3 through 4; 8.5 feet

8 0

3 years ago