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3 years ago

What is the pobability that a number cube with six

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

5 0

Answer: $\dfrac{1}{6}$

Step-by-step explanation:

We know that the total number of outcomes for fair dice {1,2,3,4,5,6} = 6

Given : Favorable outcome = 5

i.e. Number of favorable outcomes =1

We know that the formula to find the probability for each event is given by :-

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

Then, the probability that the six faces cube will land with the number 5 face up will be :_

$\dfrac{1}{6}$

Hence, the required probability = $\dfrac{1}{6}$

You might be interested in

About 33% of people who get their feet examined are found to have an ingrown toenail. What is the probability of a podiatrist ex

enot [183]

Answer:

The correct answer is 0.94147

Step-by-step explanation:

Let A denote the event that the podiatrist finds the first person with an ingrown toenail.

And (1 - A) denote the event that the podiatrist does not find the ingrown toenail.

While examining seven people, the podiatrist can find the very first person to have an ingrown toenail. Similarly he can find the second patient to have the ingrown toenail. Going in this way the probability of the first person to have an ingrown toenail is given by:

= A + (1 - A) × A + (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A + (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × (1 - A) × A.

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} + \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{2}{3} \frac{1}{3} .$

= $\frac{1}{3} + \frac{2}{3} \frac{1}{3} + (\frac{2}{3}) ^{2} \frac{1}{3} + (\frac{2}{3})^{3} \frac{1}{3} + (\frac{2}{3})^{4} \frac{1}{3} + (\frac{2}{3})^{5} \frac{1}{3} + (\frac{2}{3})^{6} \frac{1}{3}.$

= 0.94147

We can also solve the above expression by using the geometric progression formula as well where common ratio is given by $\dfrac{2}{3}$ .

8 0

3 years ago

B-30.45=95.28 what is the answer

mixer [17]

Answer:

$B = 125.73$

Step-by-step explanation:

<u>Step 1: Add 30.45 to both sides</u>

<u /> $B - 30.45=95.28$

$B +(- 30.45 + 30.45)=(95.28 + 30.45)$

$B = 125.73$

Answer: $B = 125.73$

6 0

2 years ago

SHORT ANSWER

Zigmanuir [339]

Gradient of the line formed;
m= $\frac{change in y}{change in x}$
m= $\frac{-2-1}{6--5}$
m= $\frac{-3}{11}$
y=mx+c
y= $\frac{-3}{11} x+c$
Replacing for x and y;
1=-3/11*(-5)+c
1=15/11+c
c=1-15/11
c=-4/11
y= $\frac{-3}{11} x- \frac{4}{11}$

4 0

3 years ago

Name 5 that are near, but not equivalent to, 4/12

ICE Princess25 [194]

4/12ths is 1/3 when simplified. 1/3 in decimal form is .33

1/5; 1/5 is .2

¼; ¼ is .25

5/25: 5/25 is .2

6/24; 6/24 is .25

all of these fractions are near .33 but aren't equivalent to it.

7 0

3 years ago

Which of the following represents a rotation of △EFG, which has vertices E(4,−3), F(−7,5), and G(2,8), about the origin by 180°?

Basile [38]

Using translation concepts, the vertices of the rectangle after the translation about the origin by 180° will be as follows:

E'(-4,3), F'(7,-5) and G(-2,-8).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a rotation of 180º about the origin is:

(x,y) -> (-x,-y).

Hence, for triangle EFG, the vertices after the translation will be given as follows:

E'(-4,3), F'(7,-5) and G(-2,-8).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

6 0

2 years ago