Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are spades, your friend will pay you $225. Otherwise, you have to pay your friend $12. Step 2 of 2 : If this same bet is made 738 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.

Win $1,423.59

Step-by-step explanation:

There are 52 cards in a deck, 13 of which are spades.

The probability if drawing two consecutive spades without replacement is:

Therefore, there is a 3 in 51 chance of you winning $225 and a 48 in 51 chance of you losing $12.

The expected value for 738 games is:

You are expected to win $1,423.59.

the answer is $42.96

step-by-step explanation:

answer:   the paragraph proof is mentioned below.

step-by-step explanation:

given: in a δxwy where

such that, ∠wzx ≅ ∠yzx and zw≅zy

we have to prove that: segment zx is a perpendicular bisector of segment wy.

prove: since, zw≅zy ⇒ ∠wzy is a supplementary angle.

then, ∠wzy= 180°

⇒∠wzx + ∠yzx = 180° ( because xz divides ∠wzy into two parts)

but, ∠wzx ≅ ∠yzx ( given)

⇒∠wzy+∠wzy=180° ( by substitution)

⇒2∠wzy=180°

⇒∠wzy=90°

⇒∠wzy=∠yzx =90°

therefore, xz⊥wy where wz=zy

⇒zx is a perpendicular bisector of wy.