Combinations and Probability

How many ways can 8 cheerleaders be chosen for 3 positions on the cheer team?

• 24
• 56
• 128
• 336

How many ways can 9 runners medal (Gold, Silver or Bronze) in a race?

• 27
• 84
• 216
• 504

You flip a coin three times. What is the probability of three consecutive heads?

• ½
• ⅓
• ⅙
• ⅛

Jim draws 4 cards from a deck of cards.  What is the probability of all 4 cards being clubs?

• 13C4
  52P4
• 13C4
  52C4
• 1
  52C4
• 1
  52P4

Which answer describes conditional probability  

• A conclusion drawn  based on what one 
  already knows and 
  on that alone
• The probability of 
  some event A,
   assuming event B
• The number of 
  favorable outcomes 
  divided by 
  the total number of 
  possible outcomes.
• The occurrence of some 
  event A automatically
  implies the non–occurrence of a 
  second event B.

What is the formula for Permutations?

• n!
• ^n!∕_(n-r)!
• ^n!∕_(n-r)! r!
• ^r!∕_{(r-n)! n!}

What is the formula for Combinations?

• ^n!∕_(n-r)! r!
• ^n!∕_(n-r)!
• ^r!∕_{(r-n)! n!}
• n!

What is the n value for choosing 5 cards from a standard deck of cards? 

• 2
• 5
• 13
• 52

What is the r value for choosing 5 cards from a standard deck of cards? 

• 2
• 5
• 13
• 52

You have 15 milk chocolate Valentines and 10 dark chocolate Valentines.  What is the probability that the first Valentine handed out is milk chocolate and the second is dark chocolate.

• ¼
• ½
• ⅖
• ⅜