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HotPinkGirl
 one year ago
olivia tossed two fair two sided coins. in a game, she earns 4 points if exacly one coin lands on heads and 6 points if both coins land on heads. if points are not earned for tails, what is the expected value of the points earned?
A. 3 1/3
B. 3 1/2
C. 5
D. 6
HotPinkGirl
 one year ago
olivia tossed two fair two sided coins. in a game, she earns 4 points if exacly one coin lands on heads and 6 points if both coins land on heads. if points are not earned for tails, what is the expected value of the points earned? A. 3 1/3 B. 3 1/2 C. 5 D. 6

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HotPinkGirl
 one year ago
Best ResponseYou've already chosen the best response.0@Hero @DullJackel09 @micahm

HotPinkGirl
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha @sammixboo @johnweldon1993 @dtan5457

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0So what are our possible outcomes of flipping 2 coins? H,H H,T T,H T,T right?

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0So, a total of 4 ways for the game to go In how many ways...will she get exactly 1 H?

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0Right! Either H,T or T,H good So there are 2 ways of getting just 1 H....so that probability is 2/4 or 1/2 right? Now, how many ways will she get both H?

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0Right again So out of the 4 ways of the game ending...we have just 1 in that way...so that probability is 1/4

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0SO! Now to find the expected value...we take the probability of each event with the points from those events... \[\large EV = \text{Probability of 1 H}\times \text{Points} + \text{Probability of 2H} \times \text{Points}\] So \[\large EV = \frac{1}{2} \times 4 + \frac{1}{4} \times 6 = ?\]

HotPinkGirl
 one year ago
Best ResponseYou've already chosen the best response.0how do you do that?

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0How did I get to that equation? Or just how to calculate it?

HotPinkGirl
 one year ago
Best ResponseYou've already chosen the best response.0how do you calculate it?

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0Oh okay So what is 1/2 times 4? and what is 1/4 times 6?

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0I'm assuming the 2 was the answer to the 1/2 times 4...which yes is correct however...does 1/4 x 6 = 3? I get 6/4 or 3/2 right? So what is 2 + 3/2?

johnweldon1993
 one year ago
Best ResponseYou've already chosen the best response.0Not quite :) \[\large 2 + \frac{3}{2} = \frac{4}{2} + \frac{3}{2} = \frac{7}{2} = ?\]

HotPinkGirl
 one year ago
Best ResponseYou've already chosen the best response.0is the answer B. 3 1/2?
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