Question

On the last day of a Shakespeare class, an English teacher asked her students which play they liked the best, and she recorded the results to date.Hamlet2Twelfth Night8A Midsummer Night's Dream2What is the experimental probability that the next student to respond likes Hamlet best?Simplify your answer and write it as a fraction or whole number.P(Hamlet)

Answer 1

The experimental probability that the next student to respond likes Hamlet best is 1/6.

Step-by-step explanation:

The student is asking about the experimental probability that the next student will favor Hamlet as their best-liked Shakespeare play, based on the preferences previously recorded by the English teacher. To calculate experimental probability, you use the formula:

P(Event) = (Number of times the event occurred) / (Total number of trials)

In this case, the event is a student preferring Hamlet, which occurred 2 times out of the total 12 responses (2 for Hamlet, 8 for Twelfth Night, and 2 for A Midsummer Night's Dream).

Thus, the experimental probability, P(Hamlet), is:

P(Hamlet) = 2 / 12

When simplified, this fraction becomes:

P(Hamlet) = 1 / 6

Answer 2

In order to calculate the experimental probability, we use the data that has been collected until the moment but also add the new event that we believe is going to happen.

In this case, if we believe that the next student will respond to Hamlet best, it means that now they are going to be 3 students that prefer this play.

And the total of students is going to be the sum of all.

then,

`\begin{gathered} P(Hamlet)=(3)/(3+8+2) \\ \\ P(Hamlet)=(3)/(13) \end{gathered}`