Miscellaneous
In how many ways can 4 different markers be arranged in buckets?
24 ways
WHY:
4 times 3 times 2 times 1 = 24 ways
Melina spins the arrow on a spinner with 4 equal sections labeled A, B, C, and D.
Then she rolls a standard die.
What is the probability that the arrow will stop on the letter B and the die lands on a '6'?
1/24
p(1/6)(1/4) = 1/24
Danna is playing with a set of playing cards. Answer the following about the deck of playing cards.
She pulls out a card.
A. What is the probability that Danna will pull out an ace?
B. What is the probability that Danna will pull out a red card?
A. 1/13
WHY:
4 Aces in playing deck. 52 total cards.
4/52 = 2/26 = 1/13
B. 1/2
WHY:
26 are red. 52 total cards.
26/52 = 1/2
in how may ways can 3 different lip glosses be picked from a container with 10 lip glosses?
120 ways
WHY:
10 = 10 times 9 times 8 = 720
C ANSWER = 720/6 = 120 ways
3 = 3 times 2 times 1 = 6
A spinner is numbered 1-10. Write the probability for each event, as a fraction, decimal, and percent.
A) P(even number)
B) P(more than 2)
A) 1/2, 0.5, 50%
B) 8/10, 0.8, 80%
There are 10 kids in a class.
Ms. O'Brien is going to pick Popsicle sticks to see who will answer a math question.
What is the probability that the single kid George will get his name picked? Write your answer in a percentage.
10%
WHY:
1/10 = 0.1 = 10%
Baker Victoria is making bread and pastries for customer to take with water. She has three types of bread, four types of cakes, and five types of cookies.
If each customer takes one type of bread, cake, and cookies, what is the total number of possible pastry with water combinations she can make.
60 ways
WHY:
3 times 4 times 5 = 60 ways
A box contains 15 yellow bows and 5 grey bows. Kathy randomly picks a bow from the box and keeps it. Then, Robert picks a cap from the box.
What is the probability that both of them will get grey caps?
1/19
WHY:
(5/20)(4/19) = 5/95 = 1/19
What is the probability of getting a two or four from a set of ten playing cards?
1/5
WHY:
1/10 + 1/10 = 2/10 = 1/5
Amelia is measuring the length of cups. He is trying to see which cup has the shortest length. There are five different cups. The results of the length of the multiple cups are shown below.
RED - 10
BLUE - 10
GREEN - 8
PINK - 8
ORANGE - 14
A) Based on the data, what is the experimental probability that the pink cup has the shortest length?
B) Based on the data, what is the experimental probability that the blue cup has the shortest length?
A) 4/25
WHY:
TOTAL: 50
PINK: 8
8/50 = 4/25
B) 1/5
WHY:
TOTAL = 50
BLUE: 10
10/50 = 1/5
Calculate the probability that both dice will roll a '3' and indicate if the probability is "unlikely", "likely", "certain", or "impossible".
1/36 - Unlikely
WHY:
(1/6)(1/6) = 1/36 - Unlikely (less than 1/2)
A standard deck of playing cards has four 8's.
What is the probability of randomly picking a card and NOT getting an 8?
12/13
WHY:
4 8's in a deck of playing cards.
52-4=48
48/52 = 12/13
How many ace's are in a deck of playing cards?
4
How many black and red cards are in a set?
26 red, and 26 black
In how many different ways can 5 different books be arranged on a shelf?
120 ways
WHY:
5 times 4 times 3 times 2 times 1 = 120