The sample space for a roll of two number cubes is shown in the table. (1,1)|(1,2)|(1,3)|(1,4)|(1,5),(1,6) (2,1)|(2,2)|(2,3)|(2,4)|(2,5)|(2,6) (3,1)|(3,2)|(3,3)|(3,4)|(3,5)|(3,6) (4,1)|(4,2)|(4,3)|(4,4)|(4,5)|(4,6) (5,1)|(5,2)|(5,3)|(5,4)|(5,5)|(5,6) (6,1)|(6,2)|(6,3)|(6,5)|(6,5)|(6,6) What is the probability that the roll will result
1/6
The sample space for a roll of two number cubes is shown in the table.
(1,1)|(1,2)|(1,3)|(1,4)|(1,5),(1,6)
(2,1)|(2,2)|(2,3)|(2,4)|(2,5)|(2,6)
(3,1)|(3,2)|(3,3)|(3,4)|(3,5)|(3,6)
(4,1)|(4,2)|(4,3)|(4,4)|(4,5)|(4,6)
(5,1)|(5,2)|(5,3)|(5,4)|(5,5)|(5,6)
(6,1)|(6,2)|(6,3)|(6,5)|(6,5)|(6,6)
The two numbers rolled can be added to get a sum Find P(sum is less than 4)
A. 1/12
B. 5/36
C. 2/9
D. 11/13
The sums less than 4 are 2 and 3. We can find them in the table and determine that there are 2 outcomes corresponding to the sum of 2 (1,1) and the sum of 3 also has 2 outcomes (1,2) and (2,1).
Therefore, there are 4 possible outcomes that result in a sum less than 4. Since there are 36 total possible outcomes, the probability of rolling a sum less than 4 is:
P(sum < 4) = 4/36 = 1/9
Answer: Not one of the choices.
You are packing for a vacation. You pack 3 pairs of shorts 5 shirts and 2 pairs of shoes how many different outfits will you be able to make using one pair of shorts one shirt and one pair of shoes?
A. 10
B. 17
C. 30
D. 35
There are 3 options for the shorts, 5 options for the shirts, and 2 options for the shoes. Using the counting principle, we can combine these options to find the total number of outfits:
3 x 5 x 2 = 30
Therefore, you will be able to make 30 different outfits using one pair of shorts, one shirt, and one pair of shoes.
Answer: C. 30
There are four marbles in a bag with the colors red white blue and green John pulls out one marble and tosses a coin how many elements are there in the sample space?
A. 2
B. 4
C. 8
D. 16
There are two separate events happening: pulling out a marble and tossing a coin. We can find the number of outcomes for each event and then multiply them together using the counting principle to find the total number of elements in the sample space.
For pulling out a marble, there are 4 possible outcomes (red, white, blue, and green).
For tossing a coin, there are 2 possible outcomes (heads or tails).
Multiplying these together, we get:
4 x 2 = 8
Therefore, there are 8 elements in the sample space.
Answer: C. 8
A sandwich shop sells sausage sandwiches bacon sandwiches and 16 different toppings how many choices are there for a single sandwich with one topping?
A. 18
B. 24
C. 32
D. 34
There are two separate events happening: choosing the type of sandwich and choosing the topping. We need to use the counting principle to find the number of total choices.
For the type of sandwich, there are 2 options: sausage or bacon.
For the topping, there are 16 options.
Therefore, using the counting principle we can multiply the options together:
2 x 16 = 32
Therefore, there are 32 choices for a single sandwich with one topping.
Answer: C. 32
The probability it will snow in the next two weeks is 1/12 for this week and 1/4 for next week what is P(snow this week then snow next week)?
A. 1/8
B. 1/16
C. 1/24
D. 1/48