Q1) You are attending a picnic and there is a cooler containing 29 cans of soft

Question

Q1) You are attending a picnic and there is a cooler containing 29 cans of soft drinks: 5 cans of Pepsi, 3 cans of Coke, 7 cans of Diet Coke, 8 cans of Mountain Dew, and the rest are Sprite. What is the probability of randomly selecting a Sprite?

A. 27.6%

B. 17.2%

C. 20.7%

D. 32.5%

Q2) In a recent Life hacker poll of over 14,000 internet users, it was reported that 8% own one computer, 22% own two computers, 24% own three computers, 14% own 4 computers, and the rest own five or more computers.   What is the probability that an internet user chosen at random owns four or more computers? This poll assumes that everyone answering has at least one computer.

A. .14

B. .32

C. .77

D. .46

Q3) You pick two cards at random (one at a time) from a standard deck of 52 cards without replacing the first one in the deck. Find the probability that you pick two hearts.

A. .0625

B. .0577

C. .0588

D. .0059

Q4) The Very Hot Pepper Sauce company makes 4 kinds of hot sauce. Fifty-two percent of the bottles are filled Spicy Red Pepper Sauce, 18% of the bottles are filled with Mild Green Pepper Sauce, 21% of the bottles are filled with Smoky Chipotle Pepper Sauce, and the rest are filled with Super Hot Fire Sauce. If you choose one bottle of hot sauce at random, what is the probability that it is not Super Hot Fire Sauce?

A. 0.49

B. 0.91

C. 0.09

D. 0.19

Q5) As in the last problem, the Very Hot Pepper Sauce company makes 4 kinds of hot sauce. Fifty-two percent of the bottles are filled Spicy Red Pepper Sauce, 18% of the bottles are filled with Mild Green Pepper Sauce, 21% of the bottles are filled with Smoky Chipotle Pepper Sauce, and the rest are filled with Super Hot Fire Sauce. If you choose three bottles in a row, what is the probability that all are Mild Green Pepper Sauce. (You can assume an infinite supply of hot sauce.)

A. 0.0058

B. 0.0584

C. 0.18

D. 0.0324

Explanation / Answer

1. Cans of sprite are: 29-(5+3+7+8)=6 P(Sprite)= 6/29 =20.7% i.e C

2. four or more computers will be 100% - (8%+22%+24%)=0.46 or option D

3. number of hearts is 13 . picking up 2 hearts will be 13C2/52C2 = 0.0588 i.e C

4. it will be given by (52+18+21)% =91% or B

5. .18*.18*.18=0.005832 or option A

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