In: Statistics and Probability
1.A small club of 9 people wants to select a 3 person committee
consisting of a...
1.A small club of 9 people wants to select a 3 person committee
consisting of a president, vice president, and treasurer. How many
different leadership structures could the club have?
- A statistics professor wants to select a simple random sample
of 5 students from their 27 person lab group. How many distinct
samples could the professor get?
- An experiment consists of flipping a coin 15 times and
recording the side each lands on. What is the size of the sample
space for this experiment?
- In poker, 5 cards from a deck of 52 cards are dealt to each
player at the table. A player’s hand is determined only by the
cards they are holding and not in the order dealt. How many 5 card
hands are possible?
5.How many 6 digit numbers can be formed using the digits 1, 6,
3, 8, 5, 7 w/o any repeated digits.
- The California Mega Millions requires picking 5 different
numbers from 1 to 70 and then a sixth number from 1 to 25. How many
different lottery tickets are possible?
- How many numbers can be formed with the digits
{1, 1, 1, 1,
2, 2, 2} each only exactly once?
- If a coin is flipped 8 times how many ways can you get 3
heads?
- A bag of 100 bolts contains 4 defective bolts. A sample of 10
bolts is selected. What’s the probability that there will be at
least 1 defective bolt?
- A co-ed basketball team has 8 male and 7 female members. The
coach needs to put 2 females and 3 males on the court to start the
game. How many ways can the coach do this (not counting
position)