Question

a) f you randomly select two cards from a deck of playing cards without replacement, what is the probability that you get an ace card followed by a face card

b) if you toss a coin 400 times, find the usual range for the number of tails that you expect to get.

c) Find the probability of selecting at least 1 ace card when you draw 3 cards without replacement. Answer in reduced fraction.

d) Given x̅ = 78.5 and E=11.5, find the confidence interval for μ.

Answer 1

a) There are 52 cards in a deck. There are total 4 aces and jack, king, queen are the three face cards of each types so a total of 3*4=12 face cards.

So drawing two cards with out replacements can be done in 52*51 many ways.

First an ace can be chosen in 4C1=4 many ways.

Once the Ace is chosen, you have to choose a face card from the remaining 51 cards and that is done in 12C1=12 ways.

So the probability of event= (number of fabourable out comes) / (no of possible out comes)

=4*12/52*51

=4/221