Question

1) One card is chosen randomly from Box 1, & one from Box 2: Box 1 A A B C C Determine the probability that the two chosen cards match a).24 b).32 36 d)44 e).50 Box2 A B B C C 2) The glove compartment of Sally's car contains 12 jazz CD's: 5 Cool, 3 Bebop & 4 Smooth. She reaches in & selects5 at random to play during her trip to Chicago. Determine the probability that she selects 2 Cool & 2 Bebop CD's a).227 b) .100 c) .125 d) .152 e).140 3) 9% of people in the U.S. have type B-positive blood. Let N denote the number of people we must sample in order to find one having that blood type. Determine P(N < 12). a).484 b).526 c).646 d).733 e),824

Answer 1

1)

Required probability = P(the two chosen cards match)

= P(Both cards are A) + P(Both cards are B) + P(Both cards are C)

$=\frac{2}{5}\times \frac{1}{5}+\frac{1}{5}\times \frac{2}{5}+\frac{2}{5}\times \frac{2}{5}=0.32$

Hence option B is the correct option.