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viva [34]
2 years ago
6

A card is drawn at random from a standard deck of playing cards (no jokers). If the card is a spade, the player wins $7; if it i

s not a spade, the player loses $1.
What is the expected value of this game? $________________
Mathematics
1 answer:
Akimi4 [234]2 years ago
8 0

The expected value of the game is the mean value of the game

The expected value of the game is $1

<h3>How to determine the expected value?</h3>

There are 13 spades in a deck of card of 52

So, the probability of selecting a spade is:

P(Spade) = 13/52

Simplify

P(Spade) = 1/4

Winning = $7

The probability of not selecting a spade is:

P(Not spade) = 1 - 1/4

Simplify

P(Not spade) = 3/4

Lose = $1

The expected value of the game is:

E(x) = \sum x * P(x)

This gives

E(x) = \frac 14 * 7 - 1 * \frac34

Simplify

E(x) = \frac 74 - \frac34

Evaluate

E(x) = 1

Hence, the expected value of the game is $1

Read more about expected values at:

brainly.com/question/15858152

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Answer:

  none of the above

Step-by-step explanation:

You can try the points in the equations (none works in any equation), or you can plot the points and lines (see attached). <em>You will not find any of the offered answer choices goes through the given points</em>.

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You can start with the 2-point form of the equation of a line. For points (x1, y1) and (x2, y2) that equation is ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given points, we get ...

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  y = 2/(-2)(x -4) +1 . . . . . simplify a bit

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There are 30boys in a sporting club 20of them play hockey and 15 play volley ball each boy plays atleast one of the true game.il
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2 years ago
Use the tests for divisibility to determine which numbers divide evenly into the given number.
drek231 [11]

The numbers that can divide 648 evenly, using the divisibility tests, include <u>1, 2, 3, 4, 6, 8, 9, 12, and 18</u> and some multiples of any two numbers.

<h3>What is the divisibility test?</h3>

A divisibility test is performed to identify whether a number can be divided evenly by a fixed divisor without a remainder and without actually performing the division process.

<u>Divisibility by 1</u>: Every number is divisible by 1 = 648 (648/1).

<u>Divisibility by 2</u>: 648 is an even number and divisible by 2 = 324.

<u>Divisibility by 3</u>: Sum the digits (18). 18 is divisible by 3 = 6 (18/3).

<u>Divisibility by 4</u>: The last two digits (4 and 8) form a number (12) that is divisible by 4

<u>Divisibility by 6</u>:  It is divisible by 2 and by 3

<u>Divisibility by 8</u>: If the hundreds digit is even, the number formed by the last two digits must be divisible by 8.

<u>Divisibility by 9</u>: Sum the digits (18). 18 is divisible by 9

<u>Divisibility by 12</u>: 648 is divisible by 3 and by 4.

<u>Divisibility by 18</u>: 648 is divisible by 2 and by 9.

Learn more about the divisibility tests at brainly.com/question/24125354

#SPJ1

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1 year ago
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