Question

A teacher dropped 8 coins on the table and counted the number of tails to simulate the number of questions a student might guess correctly on a true/false quiz with 8 questions. The dot plot below shows the results of one hundred trials. Based on this data, which number of correct answers is most unlikely?
A) 2
B) 5
C) 6
D) 7

Answer 1

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

A teacher dropped 8 coins on the table and counted the number of tails to simulate the number of questions a student might guess correctly on a true/false quiz with 8 questions.

From the results shown through the dot plot.

Number of correct answers is most unlikely is 0 and 5

means either no wrong answer or 5 correct answers is most unlikely.

As it has 3 dots only i.e the least number of dots over one hundred trials received.

According to option, there are 5 correct answers which is most unlikely.

Hence, Option 'B' is correct.

Answer 2

Answer with explanation:

⇒Number of coins used to Simulate the data =8 coins

→There are 8 questions,each having two options : True and False

⇒The total number of tails on 8 coins ,when flipped gives number of correct answers given by students

When 8 coins are flipped 100 times

Plotting the table,

Number of students                                  Number of tails

     4                                                                      0

     13                                                                      1

    12                                                                       2

    10                                                                       3

    8                                                                         4

    4                                                                          5

    17                                                                         6

    15                                                                         7

     12                                                                        8

,number of tails occurred shows number of students who has given correct answers.

Probability of giving correct answer is $=\frac{1}{2}$,that is 50% , and probability of giving Incorrect answer is also  $=\frac{1}{2}$ 50%.

but you have to answer by looking at the Data plot.

there are 4 students who has given 5 correct and 0 correct answers.

If,we don't have to take data plot into consideration, giving 7 correct answers is most unlikely but when we take dot plot into Consideration, 5, number of correct answers is most unlikely.

But , here we have to find those answers,that is natural numbers lying in the interval [0,8] which are unlikely.So, Giving 6 as well as 7 correct answers is quite unlikely if you will look at the Simulation made by the teacher.

Option C : 6 and Option D: 7