Ask Question
6 August, 20:08

Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Corrine rolls a standard six-sided die. Event A: Corrine rolls a number greater than three. Experiment II: Pablo flips a fair coin twice. Event B: Pablo notes heads on the first flip and tails on the second flip. Which statement about Event A and Event B is true? A. It is not possible to determine which event is more likely. B. Event A is less likely to occur than Event B. C. Both events are equally likely to occur. D. Event A is more likely to occur than Event B.

+4
Answers (1)
  1. 6 August, 22:55
    0
    Answer: The correct answer is option C: Both events are equally likely to occur

    Step-by-step explanation: For the first experiment, Corrine has a six-sided die, which means there is a total of six possible outcomes altogether. In her experiment, Corrine rolls a number greater than three. The number of events that satisfies this condition in her experiment are the numbers four, five and six (that is, 3 events). Hence the probability can be calculated as follows;

    P (>3) = Number of required outcomes/Number of possible outcomes

    P (>3) = 3/6

    P (>3) = 1/2 or 0.5

    Therefore the probability of rolling a number greater than three is 0.5 or 50%.

    For the second experiment, Pablo notes heads on the first flip of a coin and then tails on the second flip. for a coin there are two outcomes in total, so the probability of the coin landing on a head is equal to the probability of the coin landing on a tail. Hence the probability can be calculated as follows;

    P (Head) = Number of required outcomes/Number of all possible outcomes

    P (Head) = 1/2

    P (Head) = 0.5

    Therefore the probability of landing on a head is 0.5 or 50%. (Note that the probability of landing on a tail is equally 0.5 or 50%)

    From these results we can conclude that in both experiments, both events are equally likely to occur.
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “Two experiments are defined below. An event is defined for each of the experiments. Experiment I: Corrine rolls a standard six-sided die. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers