1. A cafe has 10 types of tea, 8 types of hot chocolate, and 15 kinds of coffee.
ID: 3125576 • Letter: 1
Question
1. A cafe has 10 types of tea, 8 types of hot chocolate, and 15 kinds of coffee. The café is running a promotion where it is giving away a randomly selected beverage to each customer. What is the probability that you will get a coffee or hot chocolate?
* 0.455
* 0.11
*0.697
* 0.242
* NONE
2.There are 4 almonds, 12 cashews, 18 peanuts, and 27 sunflower seeds in a nut mix. If two different nuts are randomly selected to be enjoyed as a snack, what is the probability of selecting two cashews?
* none
* 0.036
* 0.039
* 0.0.013
* 0.24
3.
There are 10 cats, 15 dogs, and 12 birds in a shelter. One animal is randomly selected. What is P(dog and cat)?
* 0
* 0.676
* none
* 1
* 25
4.
Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Two numbers are randomly selected with replacement. Find the probability of selecting two numbers that are multiples of 3.
* 0.09
*0.999
* 0.3
* none
0.6
5.
The table below represents the results of a survey about food preference for a group of students broken down according to gender.
Male
Female
Pizza
15
18
Chicken Wings
21
12
If one student is randomly selected, find the probability of selecting a male student or a student that prefers chicken wings, that is, P(male or wings)?
Question 5 options:
0.48
None of the other answer options are correct.
1
0.5
0.545
6. Let h represent the height of a man in inches. Select an appropriate translation for “The probability a man is more than 70 inches tall.”
P(h < 70)
P(h > 70)
P (h = 70)
None of the other answer options are correct.
P(h + 70)
7.
Let A = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. One number is randomly selected. Find P(Odd or Multiple of 3).
* 0.7
* 0.3
* none
* 0.5
* 0.6
8.
If one letter is randomly selected from the word INTERESTING, what is the probability that it is an N or an I?
* 0.4
* none
* 2/11
*4/121
* 11/4
9.
The table below represents the results of a survey about food preference for a group of students broken down according to gender.
Male
Female
Pizza
15
18
Chicken Wings
21
12
If one student is randomly selected, find the probability of selecting a student that prefers pizza?
Question 9 options:
None of the other answer options are correct.
0.33
2
0.36
0.5
10.
The table below represents the results of a survey about food preference for a group of students broken down according to gender.
Male
Female
Pizza
15
18
Chicken Wings
21
12
If one student is randomly selected, find the probability of selecting a student that is female and prefers a pizza, that is P(female and pizza)?
Question 10 options:
0.545
0.273
0.18
0.682
None of the other answer options are correct.
Male
Female
Pizza
15
18
Chicken Wings
21
12
Explanation / Answer
1)
There are 10+8+15 = 33 drinks.
P(coffee or choco) = (8+15)/33 = 0.697 [ANSWER, C]
******************
2.
There are 4+12+18+27 = 61 nuts.
Note that the probability of x successes out of n trials is
P(x) = C(N-K, n-x) C(K, x) / C(N, n)
where
N = population size = 61
K = number of successes in the population = 12
n = sample size = 2
x = number of successes in the sample = 2
Thus,
P( 2 ) = 0.036065574 = 0.036 [ANSWER, B]
*******************
3.
There are 10+15+12 = 37 animals.
Hence,
P(dog and cat) = (10+15)/37 = 0.676 [ANSWER, C]
*******************************************
Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.