Chapter 5
discrete probability distributions
lity of losing $5 and you
the prize is $180, includin
roulette wo you have in of $175. utcome is an odd number,
imber 7 in. of making if you bet,
of making a net gain of $5 is
$10 that includes your
17. expected value in roulette when you give the venetian casino in las
bet on the number 7 in roulette, you have a 37/38 probability of lo
have a 1/38 probability of making a net gain of $175. (the prize is
your $5 bet, so the net gain is $175.) if you bet $5 that the outcome
the probability of losing $5 is 20/38 and the probability of making
18/38. (if you bet $5 on an odd number and win, you are given $10 that
bet, so the net gain is $5.)
a. if you bet $5 on the number 7, what is your expected value?
b. if you bet $5 that the outcome is an odd number, what is your expect
c. which of these options is best: bet on 7, bet on an odd number
or what is your expected value?
odd number, or don't bet?
why?

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

inverse operation of addition

true

step-by-step explanation:

intersecting chords are just lines that intersect. so a line is equal to 180 degrees, so when it is intersected by another chord, then it create supplementary angles, and because the lines cross, vertical angels are also formed.