Starter quiz

  • In a fair six-sided die, what is the probability of rolling a 5 and getting a head in a single toss of a fair coin?
    • \frac{1}{2}
    • \frac{1}{6}
    • \frac{1}{12}  ✓
  • A counter is taken from the bag. Its letter is noted and then it is placed back into the bag. A counter is taken from the bag again. Which of these options is not the correct sample space?
    A counter is taken from the bag. Its letter is noted and then it is placed back into the bag. A counter is taken from the bag again. Which of these options is not the correct sample space?
    • ξ = {AA, AB, AC, BA, BB, BC, CA, CB, CC}
    • ξ = {AA, AB, BA, BB, BC, CA, CB, CC}  ✓
  • If the probability of an event (A) is /frac{3}{7}, and the experiment is repeated 49 times, what is the theoretical number of times event (A) will occur?
    • 3
    • 7
    • 21  ✓
    • 49
  • Which of the events {A,B,C} is the least likely to occur according to this probability tree?
    Which of the events {A,B,C} is the least likely to occur according to this probability tree?
    • A  ✓
    • B
    • C
    • None.
  • John uses an unbiased random selection tool to generate a single letter of the alphabet. It is repeated three times. Which of the following letter sequences is the least likely?
    • A,G,H
    • A,A,A
    • M,O,O
    • B,I,N
    • All selections are equally likely  ✓
  • There are two trials. In Trial 1, a spinner with {A, B} is spun twice. In Trial 2, a spinner with {B, C} is spun twice. Which statement is true?
    • The total number of possible outcomes in Trial 1 is greater than in Trial 2.
    • The total number of possible outcomes in Trial 1 is less than in Trial 2.
    • The total number of possible outcomes in Trial 1 is the same are in Trial 2.  ✓
+