Statistics Assessments Report a question What's wrong with this question? You cannot submit an empty report. Please add some details. 12345678910 Basic Probability Quiz This basic probability quiz consists of 10 multiple-choice questions randomly selected from a set of 25. This quiz on basic probability introduces foundational concepts in statistics, providing an engaging overview suitable for learners at various levels. The questions cover a range of probability scenarios, including single events, compound events, and independent and mutually exclusive outcomes. Key topics tested include calculating the probabilities of specific outcomes for dice rolls, card draws from a standard deck, and coin flips, along with applying theoretical knowledge to everyday examples such as selecting days of the week. 1 / 10 1. In a standard deck of 52 cards, what is the probability of drawing an Ace? A. 4/52 B. 1/52 C. 1/13 D. 1/26 Wrong: There are 4 Aces in a standard deck of 52 cards, so the probability of drawing an Ace is 4 out of 52, which simplifies to 1/13. Correct: There are 4 Aces in a standard deck of 52 cards, so the probability of drawing an Ace is 4 out of 52, which simplifies to 1/13. 2 / 10 2. What is the probability of drawing a queen from a standard 52 deck of cards with four queens? A. 4/26 B. 1/26 C. 1/12 D. 1/13 Wrong: There are 4 queens in a standard deck of 52 cards, so the probability of drawing a queen is 4 out of 52, or \frac{1}{13} when simplified. Correct: There are 4 queens in a standard deck of 52 cards, so the probability of drawing a queen is 4 out of 52, or \frac{1}{13} when simplified. 3 / 10 3. What is the complement of an event in probability? A. The outcome that is most favorable to the event B. The probability of the event not occurring C. The sum of probabilities of all related events D. The likelihood the event will happen twice Wrong: The complement of an event is the probability that the event does not occur. If an event has a probability �p, its complement has a probability of 1-P Correct: The complement of an event is the probability that the event does not occur. If an event has a probability �p, its complement has a probability of 1-P 4 / 10 4. What do we call the probability of one event occurring given that another event has already occurred? A. Complementary probability B. Conditional probability C. Independent probability D. Cumulative probability Wrong: Conditional probability is the probability of an event occurring given that another event has already occurred. Correct: Conditional probability is the probability of an event occurring given that another event has already occurred. In a standard deck of cards, there are 26 red and 26 black cards, with 13 spades(black), 13 clubs(black), 13 hearts(red), 13 diamonds(red). Each rank has four (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King), one for each suit. 5 / 10 5. In a standard deck of 52 playing cards, what is the probability of drawing a card that is either a king or a heart? A. 13/52 B. 16/52 C. 4/52 D. 17/52 Wrong: There are 4 kings and 13 hearts in a deck, but one of the kings is also a heart, so we must not double-count it, leading to 16 + 1 = 17 different cards that fit the criteria Correct: There are 4 kings and 13 hearts in a deck, but one of the kings is also a heart, so we must not double-count it, leading to 16 + 1 = 17 different cards that fit the criteria 6 / 10 6. What is the probability of flipping a fair coin and getting heads? A. 1 B. 0.75 C. 0.5 D. 0.25 Wrong: The probability of getting heads when flipping a fair coin is 0.5, as there are two equally likely outcomes: heads or tails. Correct: The probability of getting heads when flipping a fair coin is 0.5, as there are two equally likely outcomes: heads or tails. 7 / 10 7. In a bag containing 3 blue, 2 green, and 5 red marbles, what is the probability of randomly selecting a green marble? A. 2/10 B. 1/5 C. 2/5 D. 3/10 Wrong: With 2 green marbles out of a total of 10 (3 blue + 2 green + 5 red), the probability of selecting a green marble is 2 out of 10, or 1/5 (which simplifies from 2/10). Correct: With 2 green marbles out of a total of 10 (3 blue + 2 green + 5 red), the probability of selecting a green marble is 2 out of 10, or 1/5 (which simplifies from 2/10). 8 / 10 8. If a bag contains 5 green, 7 red, and 8 blue marbles, what is the probability of picking either a green or a red marble? A. 12/20 B. 5/20 C. 15/20 D. 7/20 Wrong: There are 5 green and 7 red marbles, making a total of 12. With 20 marbles overall, the probability is \frac{12}{20}, which simplifies to \frac{3}{5}. Correct: There are 5 green and 7 red marbles, making a total of 12. With 20 marbles overall, the probability is \frac{12}{20}, which simplifies to \frac{3}{5}. 9 / 10 9. What is the probability of randomly selecting a day of the week that is a weekend (Saturday or Sunday)? A. 1/7 B. 2/7 C. 1/5 D. 3/7 Wrong: Since there are two weekend days (Saturday and Sunday) out of seven days in a week, the probability of selecting a weekend day is \frac{2}{7}. Correct: Since there are two weekend days (Saturday and Sunday) out of seven days in a week, the probability of selecting a weekend day is \frac{2}{7}. 10 / 10 10. What is the probability of rolling a number divisible by 3 with a single six-sided die? A. 1/2 B. 2/3 C. 3/6 D. 1/3 Wrong: The numbers divisible by three on a six-sided die are 3 and 6. Therefore, the probability is \frac{2}{6}=\frac{1}{3}. Correct: The numbers divisible by three on a six-sided die are 3 and 6. Therefore, the probability is \frac{2}{6}=\frac{1}{3}. Your score is Share the knowledge far and wide. LinkedIn Facebook Twitter Restart quiz
