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Vikentia [17]
4 years ago
13

Three cards are taken, one after the other and without replacement, from a standard deck of 52 card. Find the probability that t

he first and third card are red?
Mathematics
1 answer:
satela [25.4K]4 years ago
7 0

Answer:

Since the cards are drawn with replacement, the order isn’t really relevant:

P(heart) = 13 / 52 = 1 / 4

P(red) = 26 / 52 = 1 / 2

P(face) = 12 / 52 = 3 / 13

P(heart and red and face) = 1 / 4 * 1 / 2 * 3 / 13 = 3 / 104

Step-by-step explanation:


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Thank u in advance!!
Dafna1 [17]

Answer:

  • Dilation

Step-by-step explanation:

Refraction, rotation and transformation are rigid motions,

so, they produce congruent figures.

Dilation does not preserve side length, so it is not a congruence transformation.

6 0
2 years ago
Read 2 more answers
Find the slope of the line with the given equation. Show your work.<br> 6x – 2y = 18
Vera_Pavlovna [14]
Currently the equation 6x - 2y = 18 is in standard form. Convert the standard form equation into a slope-intercept form and we can find the slope easily.

Solve for y.

6x - 2y = 18
-2y        = 18 - 6x <-- Subtract 6x from each side. This is to isolate the 2y term
2y / -2  = \frac{18 - 6x}{2} <-- Divide each side by 2. This it to
                                                               get rid of the 2 coefficient.
y = -9 + 3x

Rearrange the right-hand side a bit.

y = -9 + 3x becomes y = 3x - 9

Now it is in slope-intercept form.
The slope is the coefficient of the x variable.

So, 3 is the slope.
7 0
4 years ago
Help plz<br>−86 + (−14) − 23 − (+22) + 16 − (−34)=​
nikdorinn [45]

Step-by-step explanation:

the answer is -86 mark as brainliest or rate this if u found this helpful :)

8 0
3 years ago
Read 2 more answers
Y = 2x + 3<br> y = -3x + 8
snow_lady [41]

Answer:

i did not get that

Step-by-step explanation:

8 0
3 years ago
According to email logs, one employee at your company receives an average of 2.15 emails per week. Suppose the count of emails r
bija089 [108]

Answer:a) P(x=r) = e^-4.3 × 4.3^r/(r!), b) 0.7637

Step-by-step explanation: The employee receives an average of 2.15 emails in one week.

This is the constant rate at which the event is occurring and it does not affect any other.

Hence λ = 2.15.

If she receives 2.15 emails in 1 week, then in 2 week, she will receive an average of 2.15×2 = 4.3.

Hence for the 2 week period, λ = 4.3 ( that's she receives and average of 4.3 emails in 2 weeks).

a) the probability distribution that defines a possion probability distribution is given below as

P(x=r) = e^-λ × λ^r/(r!)

Our question is to get the distribution, hence our answer will be in terms of r and λ= 4.3

P(x=r) = e^-4.3 × 4.3^r/(r!)

b) P(4 or fewer emails) = P(x≤4)

P(x≤4) = P(x=4) + P(x=3) + P(x=2) + P(x=1) +P(x=0)

Recall that

P(x=r) = e^-4.3 × 4.3^r/(r!)

At x = 4

P(x=4) = e^-4.3 × 4.3^4/(4!)

P(x=4) =e^-4.3 × 4.3^4/24

P(x=4) = 0.3866

At x = 3

P(x=3) = e^-4.3 × 4.3^3/(3!)

P(x=3) = e^-4.3 × 4.3^3/(6)

P(x=3) = 0.1798.

At x = 2

P(x=2) = e^-4.3 × 4.3^2/(2!)

P(x=2) = e^-4.3 × 4.3^2/(2)

P(x=2) = 0.1254

At x = 1

P(x=1) = e^-4.3 × 4.3^1/(1!)

P(x=1) = e^-4.3 × 4.3^1/(1)

P(x=1) = 0.0583

At x = 0

P(x=0) = e^-4.3 × 4.3^0/(0!)

P(x=0) = e^-4.3 × 1/(1)

P(x=0) = 0.0136

P(x≤4) = 0.3866+0.1798+0.1254+0.0583+0.0136 = 0.7637

7 0
4 years ago
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