Page 116 - Senior Math

1) Suppose a card is drawn from a well-shuffled standard deck of 52 cards. Find the probability of drawing each of the following.
a) Black card
b) Spade
c) Not a spade
d) Heart
e) King
2) One of the integers between 11 and 20, inclusive, is picked at random. Find the probability of each of the following.
a) Even
b) Divisible by 3
c) Prime
3) The letters of the word TEXAS are arranged in a random order. What is the probability that the letters spell TAXES?
4) A coach randomly selects the batting order for a t-ball team. What is the probability that he will order the players alphabetically?
5) Determine whether each of the following is dependent or independent. Then find the probability.
a) In a game, you roll an even number on a die and then spin a spinner numbered 1 through 5 and get an odd
number.
b) An ace is drawn, without replacement, from a deck of 52 cards. Then, a second ace is drawn.
c) In a bag of 3 green and 4 blue marbles, a blue marble is drawn and not replaced. Then, a second blue marble is drawn.
d) You roll two dice and get a 5 on each one.
e) A coin is tossed 4 times. What is the probability of getting all heads?
f) A box of chocolates contains 10 milk chocolates, 8 dark chocolates, and 6 white chocolates. Sue randomly chooses a chocolate, eats it, then chooses another. What is the probability that Sue chose a milk chocolate and a white chocolate?
g) In a math class with 13 girls and 11 boys, the teacher randomly selects four students to put homework problems on the board. What is the probability that all are girls?
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