The US Safety Administration report on pedestrian injuries i

The US Safety Administration report on pedestrian injuries in traffic accidents found the following statistics:

12% of the cases the victim was under 16 years old, in 22.1% the accident occurred at night, and 5.7% the victim was under 16 and the accident occurred at night.

Round answers to the nearest 10th of a percent.

(1) What is the probability that the victim was under 16 or the accident occurred at night?

(2) What is the probability that the victim was 16 or older and the accident occurred during the day?

Write each of these answers to 4 significant digits. You can use Scientific Notation for the Answer.

For example: your decimal answer is 0.0000230567, multiply by 100 to get percent....0.00230567. The four significant digits are 2305, thus for normal answer: 0.002305%, and for Scientific: 2.305E-3%

The probability of winning a game is 21.5% for each attempt.

(1) What is the probability that you will not win the game (one attempt)?

(2) What is the probability that you will win the game 3 times in a row?

(3) What is the probability of loosing at least once out of 3 times of playing this game?

(4) What is the probability of loosing 3 in a row?

(5) What is the probability of winning at least once when the game is played 3 times in a row?

There are 7 red rocks, 8 white rocks, and 8 blue rocks in a sack.   

Write all answers to the nearest 10th of a percent.

(1) What is the probability of selecting a rock that is red?  

(2) What is the probability of selecting one red rock or one white rock?   

(3) What is the probability of selecting a rock, putting it back, and selecting another that are both blue?   

(4) What is the probability of selecting a rock, putting it down, and selecting another that are both white?   

(5) What is the probability of selecting a rock that is red, putting it down, and selecting another that is white?   

Solution

The US Safety Administration report on pedestrian injuries in traffic accidents found the following statistics:
12% of the cases the victim was under 16 years old, in 22.1% the accident occurred at night, and 5.7% the victim was under 16 and the accident occurred at night.

1)

P(under 16 or the accident occurred at night) = P(under 16) + P(nigh) - P(under 16 AND night)

= 0.12 + 0.221 - 0.057

= 0.284 [ANSWER]

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2)

P(16 or older and the accident occurred during the day) = 1 - P(under 16 or the accident occurred at night)

= 1 - 0.284

= 0.716 [ANSWER]

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