Question

A pop quiz has 2 True/False questions. Paris used a 10-trial coin flip to simulate the results of guessing on the quiz. If T represents answering a question correctly, what is the experimental probability of correctly answering both questions by guessing?

Answer 1

Frequency of observed desired outcome: 3

Number of trials: 10

Experimental probability: 3/10

Explanation:

Answer 2

Experimental probability of correctly answering both questions by guessing = 1/4

Explanation:

Simulation with a coin

Tail (T) = True (answering correctly)

Head (H) = False (answering incorrectly)

Number of possible outcome = 2

I.e Head (H) or Tail (T).

Probability = number of occurrence/number of possible outcome.

Since we can only have one T or F in a toss.

number of occurrence = 1

Therefore:.

Probability of answering first question correctly = 1/2

Probability of answering second question correctly = 1/2

Probability of answering both questions correctly = Probability of answering first question correctly * Probability of answering second question correctly

Probability of answering both questions correctly = 1/2 x 1/2

Probability of answering both questions correctly = 1/4