Agame consists of flipping two coins. if both coins turn up heads, you win $1.00. what is a "fair" price to play? (what is the expected value of one play? )

Step-by-step explanation:

Given that a game consists of flipping two coins.  If both coins turn head, then there is a gain of 1 dollar.

Nothing mentioned about the fees for playing the game and hence we assumed that fee for playing the game is 0.  If both are not heads we can assume there is no gain.

Then we have outcomes as

(HH, HT, TH, TT)

Gain =(1,0,0,0)

Prob = (1/4, 1/4, 1/4, 1/4)

Hence expected value of the game

= gain * probability sum

= 1(1/4)+0(1/4)+0(1/4)+0(1/4)

=1/4

=0.25 dollars

d) 48

step-by-step explanation:

16,32,48,64,80,96,112,128,144,160,176,192,208,224,240,256,272,288,304,320,336

b. 1.25 hr

step-by-step explanation:

if you have a constant speed of 60 mph, then you have a ratio between 60 mi. to 1 hr. dividing both sides by 60 we get the ratio

1 mi. to

then mult. both sides by 75 we get the ratio

75 mi. to

simplifying we get

75 mi. to

or 1.25 hr.