There are 15 students waiting at the bus stop. If the bus can only fit 6 more students, how many ways can the driver select the students to ride the bus?
15C6 = 5,005
15
A lock contains the numbers 0-39. The lock will open when the lock is spun to the correct 3-numbers, in order. How many different 3-number combinations are possible for the lock if the numbers cannot repeat?
59,280
20
There are 45 golfers in a tournament. How many ways can they win first, second, and third place?
85,140
15
The spinner above is spun 60 times. The results are given in the table below. What is the theoretical probability of spinning a shaded number? What is the experimental probability of spinning a shaded number? Compare to the theoretical.
Theoretical = 3/8 or 38%, Exp.= 13/60 or 22%, less than expected
25
The spinner above is spun 60 times. The results are given in the table below. What is the theoretical probability of spinning an even number? What is the experimental probability of spinning an even number? Compare to theoretical.
Theoretical = 1/2 or 50%, Exp= 33/60=11/20 or 55%, more than expected
25
Theoretically, if you were to spin the spinner above 200 times, how many times could you expect it to land on an unshaded section?
125 times
20
Based on the experiment, if you were to spin the spinner above 200 times, how many times could you expect it to land on an unshaded section?
157 times
20
A card is chosen at random from a standard deck. Find P(queen or 5) as a fraction (in simplest form), decimal, and percent.
2/13, 0.15, 15%
10
A bag contains 3 blue marbles, 10 green marbles, 4 yellow marbles, and 8 red marbles. A marble is chosen at random, not replaced, then another marble is chosen. Find P(red, then red) as a simplfied fraction.
7/75
15
A bag contains 3 basketballs, 10 baseballs, 7 golf balls, and 5 footballs. A ball is chosen at random, not replaced, then another is chosen. Find P(a football, then a baseball) as a simplified fraction.
1/12
15
A pencil box contains 5 red, 12 blue, 10 green, and 3 yellow markers. If a marker is chosen at random, replaced, and then another marker is chosen, find P(green, then blue) as a simplified fraction.
2/15
15
Peter is studying abroad for a semester. He can choose the first semester or second semester, then choose France, Spain, Germany, Italy, or Japan. Find the total number of outcomes that are possible.
10
10
Credit cards place a three digit security code on the back of cards. How many codes are possible?
1000
15
A box contains 8 apple, 10 fruit punch, 10 grape, and 12 berry juice boxes. A juice box is chosen at random. Find the probability of selecting an apple or a grape juice box.
9/20 or 45%
15
A website randomly generates a password after a new user registers. The password consists of 5 single digits by 1 letter. Find the number of passwords that can be generated if digits cannot repeat.
786240
20
A website randomly generates a password after a new user registers. The password consists of 5 single digits by 1 letter. Find the number of passwords that can be generated only using numbers greater than 6 and no vowels.