Dice
If you roll a 6 sided die, what is the probability of rolling a 3 or a 4 on the first roll, and then another 3 or 4 on the second roll?
1/9
2/6 x 2/6 = 1/9
You toss a coin. What is the theoretical probability of getting heads?
1/2
Theoretical is what should happen
How many outcomes are there if you have 4 choices of bread, 5 meat choices, and 3 cheese choices, if your sandwich can have exactly 1 bread, 1 meat and 1 cheese?
60
4 x 5 x 3
Bella spins two spinners with four sections. The first one has the colors red, orange, yellow and green. The second one has the numbers 1,2,3,4. What is the probability you will spin a 1 and a red?
1/16
1/4 x 1/4 = 1/16
A bag contains 50 tiles. 10% of the bag is blue. What is the theoretical probability of getting blue?
1/10
If 10% are blue, there is a 10% chance.
Also, 10% of 50 is 5 blue. If there are 5/50 it simplifies to 1/10
If you roll a die 2 times, what is the probability that you will get doubles?
1/6
6/6 x 1/6 = 1/6
The first roll you could roll anything, and the second roll must be what you just rolled.
You toss a coin 40 times. It lands on tails 28 times. What is the experimental probability of getting heads
3/10
40 - 28 = 12
12/40 = 3/10
You have 3 shirts and 2 pants. How many outfit combinations can you make?
6
3 x 2 = 6
Amy spins two spinners with 2 sections on it. The first one has the colors yellow and pink. The second has the numbers one and two. What is the probability that when she spins it, they will land on pink and 2?
1/4
1/2 x 1/2 = 1/4
A bag contains lettered tiles. 20% are vowels. The bag contains 30 vowels. How many total tiles are there?
150
20 vowels / 100 total. Setting up a proportion if there are 30 vowels, then 150 total.
20/100 = 30/x (cross mult then div to solve)
If you roll a die two times, what is the probability that both will be odd numbers?
1/4
3/6 x 3/6 = 1/4
Three coins are tossed in the air. What is the probability that the first one will land on heads, and the others on tails?
1/8
1/2 x 1/2 x 1/2 = 1/8
You have to choose a 4 digit password for your phone. It is made of 4 numbers. How many passwords are possible?
10,000
10 x10 x 10 x 10
Hannah spins two spinners, one with 2 sections, the other with 4 sections. The first one has the letters a,b,c, and d. The second one has numbers 1 and 2. What is the probability that on the first spinner it land on a, and the second spinner it lands on 1?
1/8
1/4 x 1/2 = 1/8
A bag contains lettered tiles. 20% are vowels. The bag contains 30 vowels. How many consonants are there?
120
20 vowels/100 total. Set up a proportion:
20/100 = 30/x and x is 150. So if there are 150 total, and 30 are vowels, the rest are consonants. 150-30 = 120
If you roll a die 3 times what is the probability of getting a 1, then a 2, and then either a 1 or a 2 on the third roll.
1/108
1/6 x 1/6 x 2/6 = 1/108
You toss 4 coins. What is the probability of getting heads, heads, heads, heads?
1/16
1/2 x 1/2 x 1/2 x 1/2 = 1/16
You make a password with 4 digits that can not repeat. How many passwords are possible?
5040
10 x 9 x 8 x 7
A spinner has 4 colors on it. Red, Blue, Orange, and Purple. Another has the numbers 1,2,3,4. If you spin them, what is the probability that you will get a 1 and a blue?
1/16
1/4 x 1/4 = 1/16
A bag contains 40 tiles. 15 are green. If you randomly draw out 24 tiles, how many would you expect to be green?
9
Set up a proportion : Green / total
15/40 = x / 24 (cross mult then div to solve)
You roll a number cube 3 times. What is the probability of getting all 3 the same number?
1/36
6/6 x 1/6 x 1/6
The first number could be any number, then the next 2 numbers must be that one specific number.
You flip a coin and roll a dice. What is the probability of getting tails and a number less than 5?
1/3
1/2 x 4/6 = 1/3
You make a password that contains letters and numbers. There are 4 digits, and they cannot repeat. How many possible passwords are there?
1,413,720
36 x 35 x 34 x 33
A spinner with 4 sections is labeled 1-4. What is the probability of spinning a spinner twice and it lands on 3 or 4 both times?
1/4
2/4 x 2/4 = 1/4
A bag contains 40 tiles. 15 are green. If you randomly draw out 48 tiles, how many would you expect to be NOT green?
30
Set up a proportion : Not green / total
40 - 15 = 25
25/40 = x / 48 (cross x then div)