Question

1) Austin Richard flips a quarter 8 times in a row. a) P(at least 1 tail) b) P(exactly 2 tails at most 3 tails) 2) You pay $2 to play a game called Take What You Want where you draw 2 cards from a PINOCHLE deck of cards. If you get 2 hearts, you win $10. If you get 1 heart, you get $5. Otherwise you get nothing. a) What is the expectation for this game?

Answer 1

for tail to be an outcome - beě = 0.5 1-6 = 1- 13 = 0.5 n = total no. of trials = 8

=) poutcomes with at most 3 tails) = P(no tail) + P(1 tail) + p (2 tail) +P (3 tail) a 2 , (0.5) (0,5) + B, (0.53€(0.5)* = (5 + PC,+'s + 's) (0.5) = (1+ 8 + 28 + 56) (0.518 = 93 x(0.5) = 0.36 33 prexactly a tail ) = 86, (b)²(9-p8-2 = 8, (0.5) 2 (0.5)' = 28 x(0,5) = 10,1094) *

p(exactly a tails at most 3 tails) Plexactly a tails) p(at most 3 tails ) = 0,1094 = 0,3011 0.3633