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Probability of Independent Events (Grade 10)

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Probability of Independent Events

1. 
The best definition for independent events is
  1. the chance something will happen.
  2. the outcome of one event does not affect the outcome of another.
  3. the outcome of one event does affect the outcome of another.
  4. an arrangement of objects in a certain order.
2. 
Which of the following are independent events? There may be more than one correct answer.
  1. Rolling two dice.
  2. Picking three cards from a deck of cards, one at a time, keeping each one.
  3. Tossing a coin three times.
  4. Rolling one die, two times.
3. 
If you flip a coin 4 times, what is the probability you get heads, heads, tails, heads in that order?
  1. [math]1/8[/math]
  2. [math]1/2[/math]
  3. [math]1/16[/math]
  4. [math]1/32[/math]
  5. none of these are correct
4. 
If you use the spinner two times in a row, what is the probability that you will spin a C followed by landing on E?
Spinner With Letters
  1. 1/5
  2. 2/5
  3. 1/25
  4. 2/25
5. 
In a paper bag, 6 of the 18 marbles are blue. In a cloth bag, 1 of the 18 marbles is blue. If Stanley chooses one marble from each bag at random, what is the probability he will choose a blue marble from the paper bag and a blue marble from the cloth bag?
  1. [math]1/54[/math]
  2. [math]7/36[/math]
  3. [math]6/18[/math]
  4. [math]7/18[/math]
6. 
A girl wants to win a prize for shooting 9 baskets in a row from the free throw line. The probability of her making a shot is 0.2. What is the probability that she will make 9 shots in a row?
  1. [math]0.2xx10^-9[/math]
  2. [math]1.8[/math]
  3. [math]5.1xx10^-7[/math]
  4. [math]7.2xx10^-1[/math]
7. 
If a six-sided die is rolled and then a quarter is flipped, what is the probability of getting an even number and tails?
  1. [math]1/4[/math]
  2. [math]1/6[/math]
  3. [math]1/2[/math]
  4. [math]1/8[/math]
8. 
The probability of flipping a head on a fair coin is 0.5. What is the probability that you will flip 12 heads in a row?
  1. [math]2.4xx10^-4[/math]
  2. [math]6.0[/math]
  3. [math]1.6xx10^-7[/math]
  4. [math]0.5xx10^-12[/math]
9. 
You have a bag of 4 blue marbles, 6 red marbles, and 5 yellow marbles. What is the probability of choosing a blue marble and then a red marble, if you replace the first marble before choosing the second marble?
  1. [math]4/35[/math]
  2. [math]8/75[/math]
  3. [math]2/15[/math]
  4. [math]9/15[/math]
10. 
The lock on my luggage has a 4-digit combination. Each digit can be 1-5. If you only have one chance, what is the probability that you guess the correct combination? (Round your answer to 2 decimal places.)
  1. 0.16%
  2. 0.83%
  3. 5.67%
  4. 2.35%
  5. none of these are correct
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