Agame is played by drawing a single card from a regular deck of playing cards. if you get a black card, you win
nothing. if you get a diamond, you win $5.00. if you get a heart, you win $10.00. how much would you be willing
to pay if the game is to be fair? explain.

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

Solution to the problem

For this case we need to use the definition of expected value given by:

For this case we need that the expected value would be 0 since we want a fair game.

Assuming a standard deck of 52 cards. We can find the probabilities for each possible event.

And we have the following values:

Let A the amount that we need to pay for a game we have this equality:

And if we solve for A we got:

y do u put "subscirbe to ence" on a app for ppl who need with their work?

step-by-step explanation:

given that there are two triangles j'k'l' and jkl>

the former is got by dilating the second one.

when drawn on a grid, (graph paper) coordinates of vertices of first triangle is

(6,12)j, (9,6)k and (12,9)l

side jk has length = distance between j and k

=

side j'k'=distance between j' and k'

=

ie j'k'l' has sides 1/3 of that of corresponding sides of jkl.

hence scale factor of 1/3 is used to get j'k'l'from jkl