Compound Probability Without Replacement

Each of the letters in MATHEMATICS are on separate cards, face down on a table.  If you pick a card at random, and then another card without replacement what is the probability that both card will be a vowel? 

• 4/11
• 16/121
• 7/21
• 6/55

A magician is doing a card trick using a standard deck of cards. What is the probability that he will pull a jack, followed by a queen?
(Hint: there are 4 jacks and 4 queens in the deck of 52 total cards)

• 1/13
• 4/663
• 4/13
• 1/104

Mrs. Mullins is using a random number generator to call students. It uses the numbers 1-30. What is the probability that it will pick the number 8 two times in a row? 

• 8/100
• 1/15
• 1/900
• 1/8

You roll a six sided die. What is the probability of rolling an even number three times in a row? 

• 3/100
• 1/2
• 1/6
• 1/8

A bag contains 5 blue marbles, 4 red marbles, and 3 orange marbles. Mrs. Cox picks one without looking, replaces it and picks another one. What is the probability that she picks two that are not orange? 

• 9/16
• 3/4
• 9/144
• 5/16

Each of the letters of the word PROBABILITY are written on a card and put in a bag. What is the probability of choosing a vowel and a consonant, assuming Y is not a vowel. 

• 4/11
• 12/55
• 16/121
• 49/100

Ms. McGee is playing cards with her friend with a standard deck of 52 cards. She needs to draw 3 red cards in a row to win the game. What is the probability that she will win? 

• 1/8
• 26/100
• 50/221
• 9/2244

Mr. Enstrom flipped a coin onto a black and red checkerboard. What is the probability that it will land heads up on a black square? 

• 1/2
• 1/4
• 1/8
• 1/16