Basic Probability Concept Questions!

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Basic Probability Concept Questions! - Quiz

Do you know how to manage probability? To discover the probability, divide the possible number of events to occur by the total number of events. In contrast, the impossibility of the event can be discovered by subtracting the probability by one. Identify the number of possible outcomes for any event, and all potential outcomes must be identified first. Take this great test and find out what you know about probability.


Questions and Answers
  • 1. 

    A drawer contains 3 red paperclips, 4 green paperclips, and 5 blue paperclips.  One paperclip is taken from the drawer and then replaced.  Another paperclip is taken from the drawer.  What is the probability that the first paperclip is red and the second paperclip is blue?

  • 2. 

    A bag contains 8 green balls and 5 red balls.  Three balls are drawn one after another without replacing the balls drawn.  Find the probability of all the three balls drawn being green. 

  • 3. 

    In a taste test, 60 participants are randomly given a beverage to sample.  There are 15 samples of Pepsi, 15 samples of Coca Cola, and 10 samples of Sam's Choice and 20 samples of Dr. Thunder.  What is the probability of a participant not getting Sam's Choice Cola?

  • 4. 

    If a point inside the figure is chosen at random, what is the probability that the point is inside the shaded region?

  • 5. 

    When you roll a pair of dice, how many outcomes are there?

  • 6. 

    There are 20 marbles in a bag, 4 blue, 4 green, 4 red, 4 white and 4 black.  Remember that all fraction answers should be given in the simplest form. What is the probability of drawing a black or white marble?

    • A.

      2/3

    • B.

      8/12

    • C.

      8/20

    • D.

      2/5

    Correct Answer
    D. 2/5
    Explanation
    The probability of drawing a black or white marble can be found by adding the number of black marbles and white marbles and dividing it by the total number of marbles. In this case, there are 4 black marbles and 4 white marbles, so the sum is 8. The total number of marbles is 20. Therefore, the probability is 8/20, which can be simplified to 2/5.

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  • 7. 

    If a month is picked at random, what is the probability that the month will start with M?

    • A.

      1/12

    • B.

      1/6

    • C.

      2/6

    • D.

      4/12

    Correct Answer
    B. 1/6
    Explanation
    The probability that a month will start with M is 1 out of 6 because there are 12 months in a year and only 2 of them start with the letter M (March and May). Therefore, the probability is 1/6.

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  • 8. 

    On a game show, the game that a contestant plays is chosen by spinning a spinner.  The spinner has 5 colors on it:  red, green, blue, purple, and orange.   What is the complement of spinning a red or orange on this spinner? (Remember: complement = NOT)

    • A.

      Purple

    • B.

      Red, green, purple, orange, blue

    • C.

      Green, purple, blue

    Correct Answer
    C. Green, purple, blue
    Explanation
    The complement of spinning a red or orange on the spinner would be the colors that are not red or orange. Therefore, the answer is green, purple, and blue, as these are the colors that are not red or orange.

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  • 9. 

    Events are independent if the occurrence of one event does not affect the probability of the other.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The statement is true because when two events are independent, the probability of one event occurring does not change based on whether or not the other event occurs. In other words, the outcome of one event does not provide any information or influence the likelihood of the other event happening. This concept is fundamental in probability theory and is used to calculate the probability of multiple independent events occurring together.

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  • 10. 

    If P(A) > P(B), then event A is more likely to occur then event B.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    If P(A) > P(B), it means that the probability of event A occurring is higher than the probability of event B occurring. Therefore, event A is more likely to occur than event B.

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  • 11. 

    Which of the following formulas is used to find the probability of rolling a 2 or landing on tails?

    • A.

      P(A) x P(B)

    • B.

      P(A) + P(B)

    • C.

      P(A) x P(B/A)

    • D.

      P(B/A)

    Correct Answer
    A. P(A) x P(B)
    Explanation
    The correct answer is P(A) x P(B). This formula is used to find the probability of two independent events occurring together. In this case, P(A) represents the probability of rolling a 2 and P(B) represents the probability of landing on tails. By multiplying these probabilities together, we can determine the probability of both events happening simultaneously.

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  • 12. 

    Is [your statement here] true or false?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The given answer is "True". This means that the statement mentioned in the question is true.

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  • 13. 

    Is the statement  "the larger sample size or more often you do an experiment, the closer your results will represent the entire population or  predicted theoretical number" true or false?

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The statement is true. Increasing the sample size or conducting the experiment more often helps to reduce the impact of random variation and provides a more accurate representation of the entire population or predicted theoretical number. With a larger sample size, the results are more likely to reflect the true characteristics of the population, increasing the reliability and validity of the findings. Additionally, conducting the experiment multiple times allows for the identification and elimination of outliers or anomalous results, leading to more consistent and accurate outcomes.

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  • 14. 

    In a group of 100 people, 19 were drinking punch and 23 were eating fish.  Find the probability that a person picked from this group at random is either eating fish or drinking punch.

    Correct Answer
    N/A
    Explanation
    The probability that a person picked at random from the group is either eating fish or drinking punch can be found by adding the probabilities of these two events occurring separately. Since there are 19 people drinking punch and 23 people eating fish, the total number of people who are either eating fish or drinking punch is 19 + 23 = 42. Therefore, the probability is 42/100 = 0.42 or 42%.

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  • Nov 16, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 18, 2014
    Quiz Created by
    Bourgsk
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