Probability of getting a face card is 12/52

Probability of coin landing on heads is 1/2

Probability of coin landing on tails is 1/2

Probability of not a face card is 40/52

Probability of face card and landing on heads is 12/52 x 1/2=12/104 or 3/26 (+$4)

Probability of face card and landing on tails is 12/52 x 1/2=12/104 or 3/26 (+$1)

Probability of not face card is 40/52 or 10/13 (-$1)

Expected value can be viewed as mean or average.

Ex=4(3/26)+1(3/26)+ -1(10/13)= -0.19

This means, that you should expect to loose, on average, 19 cents if you play the game.

Mikayla J.

Thank you for your help10/20/20