Ask question

Ask question

All categories

3 years ago

14

If a $2 bet is placed for a chance to win $500 for drawing a 10 of any suit from a standard deck of cards, what is the value of

expectation?
A. $2
B. $250
C. $125
D. $500

1 answer:

OverLord2011 [107]3 years ago

6 0

P(winning) = 4/52 = 1/13 P(losing) = 48/52 = 12/13 Expected value = 1/13 ($498) + 12/13 (−$2) = $498/13 − $24/13 = $474/13 = $36.46

You might be interested in

What is the equation of the line perpendicular to Y-3x+1 that passes through the point (12,-6)?

erma4kov [3.2K]

Answer:

$3y + x = -6$

Step-by-step explanation:

Given

y = 3x + 1

Required

Equation of line that passes through (12,-6) and is perpendicular to y = 3x + 1

First, the slope of the line has to be calculated;

Th slope of a line is the coefficient of x in its linear equation;

This implies that the slope of y = 3x + 1 is 3

Having calculated the slope of the first line;

The relationship between both lines are perpendicularity; this implies that $m_1 * m_2 = -1$

Where m_1 = 3 and m_2 is the slope of the secodnd line

$m_1 * m_2 = -1$ becomes

$3 * m_2 = -1$

Divide both sides by 3

$\frac{3 *m_2}{m_2} = \frac{-1}{3}$

$m_2 = \frac{-1}{3}$

The equation of the line can be calculated using the folloing formula

$m = \frac{y - y_1}{x - x_1}$

Where $(x_1, y_1) = (12,-6)$ and $m_2 = \frac{-1}{3}$

The equation becomes

$\frac{-1}{3} = \frac{y -- 6}{x - 12}$

$\frac{-1}{3} = \frac{y + 6}{x - 12}$

Cross multiply

$-(x - 12)= 3(y + 6)$

$-x + 12=3y + 18$

Collect like terms

$12 - 18 = 3y +x$

$-6 = 3y + x$

$3y + x = -6$

4 0

3 years ago

Evaluate the expression:<br> 3(a + b - 3) - 212a + b - 4) when a = 2 and b = 1

olga_2 [115]

Answer:

417

Step-by-step explanation:

3(2+1-3)-212*2+1-4=?

3-212*2+1-4=?

3-423+1-4=?

420+1-4=?

421-4=?

417

3 0

3 years ago

A. ASA Postulate <br> B. HL Theorem <br> C.AAS Theorem<br> D. SAS Postulate

TiliK225 [7]

Answer:

your answer will be <em><u>B. HL Theorem </u></em>

Step-by-step explanation:

hope it helps you...

4 0

3 years ago

Identify whether each scenario would be represented by a continuous or discrete graph

serg [7]

Answer: Identify whether each scenario would be represented by a continuous or discrete graph

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Solve the system of equations. −9y+4x−20=0−7y+16x−80=0\begin{aligned} &-9y+4x - 20=0 \\\\ &-7y+16x-80=0 \end{aligned}

gulaghasi [49]

Answer:

(x, y) = (5, 0)

Step-by-step explanation:

$\begin{aligned} &-9y+4x - 20=0 \\ &-7y+16x-80=0 \end{aligned}$

Subtract 4 times the first equation from the second:

(-7y +16x -80) -4(-9y +4x -20) = (0) -4(0)

29y = 0 . . . . . simplify

y = 0 . . . . . . . .divide by 29

4x -20 = 0 . . . . substitute 0 for y in the first equation

x -5 = 0 . . . . . .divide by 4

x = 5 . . . . . . . . add 5

The solution to this system is (x, y) = (5, 0).

7 0

3 years ago