# MATHEMATICS

 Question 10 of 40 2.5/ 2.5 Points

A sample space consists of 46 separate events that are equally likely. What is the probability of each?

 [removed] A. 1/24 [removed] B. 1/46 [removed] C. 1/32 [removed] D. 1/18
 Question 11 of 40 0.0/ 2.5 Points

Sammy and Sally each carry a bag containing a banana, a chocolate bar, and a licorice stick. Simultaneously, they take out a single food item and consume it. The possible pairs of food items that Sally and Sammy consumed are as follows.

chocolate bar – chocolate bar

licorice stick – chocolate bar

banana – banana

chocolate bar – licorice stick

licorice stick – licorice stick

chocolate bar – banana

banana – licorice stick

licorice stick – banana

banana – chocolate bar

Find the probability that no chocolate bar was eaten.

 [removed] A. 4/9 [removed] B. 5/9 [removed] C. 7/9 [removed] D. 5/8
 Question 12 of 40 2.5/ 2.5 Points

A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue?

 [removed] A. 2/11 [removed] B. 3/11 [removed] C. 5/14 [removed] D. 3/14
 Question 13 of 40 2.5/ 2.5 Points

If a person is randomly selected, find the probability that his or her birthday is not in May. Ignore leap years. There are 365 days in a year. Express your answer as a fraction.

 [removed] A. 335/365 [removed] B. 334/365 [removed] C. 336/365 [removed] D. 30/365
 Question 14 of 40 0.0/ 2.5 Points

Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.413. Find the probability that in a given year it will not snow on January 1st in that town.

 [removed] A. 0.345 [removed] B. 0.425 [removed] C. 0.587 [removed] D. 0.592
 Question 15 of 40 2.5/ 2.5 Points

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH,
HTT, THH, THT, TTH, TTT. What is the probability of getting at least one head?

 [removed] A. 4/9 [removed] B. 5/6 [removed] C. 7/8 [removed] D. 5/8
 Question 16 of 40 2.5/ 2.5 Points

Suppose you have an extremely unfair die: The probability of a 6 is 3/8, and the probability of each other number is 1/8. If you toss the die 32 times, how many twos do you expect to see?

 [removed] A. 2 [removed] B. 4 [removed] C. 3 [removed] D. 5
 Question 17 of 40 0.0/ 2.5 Points

In a poll, respondents were asked whether they had ever been in a car accident. 220 respondents indicated that they had been in a car accident and 370 respondents said that they had not been in a car accident. If one of these respondents is randomly selected, what is the probability of getting someone who has been in a car accident? Round to the nearest thousandth.

 [removed] A. 0.384 [removed] B. 0.380 [removed] C. 0.373 [removed] D. 0.370
 Question 18 of 40 2.5/ 2.5 Points

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least two tails?

 [removed] A. 1/2 [removed] B. 2/3 [removed] C. 3/4 [removed] D. 4/9

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