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3 years ago

Use the "at least once" rule to find the probability of getting at least one 2 in four rolls of a single fair die.

Mathematics

1 answer:

Alexandra [31]3 years ago

8 0

Answer:

Probability of getting at least one 2 equals 0.5177

Step-by-step explanation:

The probability of at least one success is

$P=1-(1-p)^{n}$

where,

'p' is probability of success of 1 trail

'n' is number of events

We have probability of getting 2 is 1/6 thus 'p' = 1/6

Applying values we get

$P=1-(1-\frac{1}{6})^{4}\\\\P= 0.51177$

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Identify the ellipses, represented by equations, whose eccentricities are less than 0.5

ozzi

Answer:

See explanation

Step-by-step explanation:

Hello, we cannot see the ellipse equations.

The eccentric of an ellipse is given by:

$e = \frac{c}{a}$

Assuming the equations are:

$\frac{ {x}^{2} }{25} + \frac{ {y}^{2} }{16} = 1$

Then a²=25 and b²=16

${c}^{2} = {a}^{2} - {b}^{2}$

${c}^{2} = 25 - 16$

${c}^{2} = {3}^{2}$

$c = 3$

The eccentricity is:

$e = \frac{3}{5} = 0.6$

If the ellipse has equation,

$\frac{ {x}^{2} }{ {5}^{2} } + \frac{ {y}^{2} }{ {3}^{2} } = 1$

then the this time, we have a=5 and b=3.

This means that:

${c}^{2} = {a}^{2} - {b}^{2}$

${c}^{2} = {5}^{2} - {3}^{2}$

${c}^{2} = {4}^{2}$

$c = 4$

$c = \frac{4}{5} = 0.8$

3 0

3 years ago

Read 2 more answers

PLEASE HELP!!! BRAINLIESt!! THANK YOUU

vredina [299]

Answer:

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Se deposita 4000 soles a una tasa de interés del 0,8% quincenas .¿Que interes producirá en cinco quincenas?

katen-ka-za [31]

Answer:

Interes= 162,58

Step-by-step explanation:

Dada la siguiente información:

Se deposita 4000 soles a una tasa de interés del 0,8% quincenas

<u>Primero, debemos calcular el valor final de la inversión:</u>

VF= [VP*( 1 + i)^n]

VF= 4.000*(1,008^5)

VF= 4.162,58

<u>Para calcular el interés ganado en 5 quincenas, debemos usar la siguiente formula:</u>

Interes= 4.162,58 - 4.000

Interes= 162,58

5 0

3 years ago

Find the number whose 8% is 48?

Black_prince [1.1K]

Answer:

Step-by-step explanation :

Let x be the number.

x × 8/100 =48

x =48 × 100/8

Now cut 48 by 8 and we get 6.

x = 6 ×100

x =600

So 600 is the required number.

8 0

2 years ago

5-52: the first card selected from a standard 52-card deck is a king. a. if it is returned to the deck, what is the probability

Ksivusya [100]

Calculating the likelihood of experiments happening is one of the branches of mathematics known as probability.

The probability of getting a king card is 1/13 or 0.077.

<h3>What is meant by probability?</h3>

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given: Total number of probability - 52

Now, the first selected card is king and it is returned to the deck.

So it contains no effect on the second selection card.

Then, we have to estimate probability to obtain a king

probability = favourable outcomes for a king / total possible outcomess

= 4 king cards / 52 cards in total

= 4 / 52 = 1 / 13

The probability of getting a king card is 1 / 13 or 0.077

Therefore, the correct answer is option B. 1/13, or 0.077.

The complete question is:

The first card selected from a standard 52-card deck was a king. It isreturned to the deck, what is the probability that a king will be drawn on the second selection?

A. 1/4 or 0.25

B. 1/13, or 0.077

C. 12/13, or 0.923

D. 1/3 or 0.33

E. None of the above

To learn more about probability refer to:

brainly.com/question/13604758

#SPJ4

5 0

1 year ago