3. The table shows the snack preferences of 50 shoppers at the mall. What is the probability that (1 point) one shopper, selected at random from the 50 surveyed, preferred the potato chips or pretzels?
Food Survey
Food
Number of Shoppers
Fruit snacks
9
Potato chips
12
Apple
3
Pretzels
14
Water
12
The probability that one randomly selected shopper preferred potato chips or pretzels is:
Number of shoppers who preferred potato chips or pretzels / Total number of shoppers surveyed
= (12 + 14) / 50
= 26/50
= 0.52
Therefore, the probability is 0.52 or 52%.
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling (1 point) a number greater than 5.
Since the number cube only has numbers 1 through 6, there is no number greater than 6. Therefore, the probability of rolling a number greater than 5 is 0.
A number cube is rolled 360 times and the results are recorded as follows: 41 ones, 54 twos, 62 threes, 75 fours, 33 fives, and 95 sixes. What is the experimental probability of rolling a two or a three?
0.32 0.18 0.07 0.68
The experimental probability of rolling a two or a three is the ratio of the number of times a two or a three was rolled to the total number of rolls.
Number of times a two or three was rolled = 54 + 62 = 116
Total number of rolls = 360
Experimental probability of rolling a two or a three = Number of times a two or three was rolled / Total number of rolls = 116/360
Simplifying this fraction by dividing both the numerator and denominator by 4, we get:
Experimental probability of rolling a two or a three = 29/90
Therefore, the experimental probability of rolling a two or a three is approximately 0.32 (rounded to two decimal places).
Answer: 0.32.
From a barrel of colored marbles, you randomly select 5 blue, 2 yellow, 3 red, 4 green, and 2 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow.
The total number of marbles in the barrel is:
5 + 2 + 3 + 4 + 2 = 16
The number of marbles that are not yellow is:
5 + 3 + 4 + 2 = 14
The experimental probability of randomly selecting a marble that is not yellow is the ratio of the number of marbles that are not yellow to the total number of marbles in the barrel:
Experimental probability of selecting a marble that is not yellow = Number of marbles that are not yellow / Total number of marbles
= 14/16
Simplifying the fraction, we get:
Experimental probability of selecting a marble that is not yellow = 7/8
Therefore, the experimental probability of randomly selecting a marble that is not yellow is 7/8 or approximately 0.875 (rounded to three decimal places).
Answer: 0.875.