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 [tex]=\frac{1}{2}[/tex],that is 50% , and probability of giving Incorrect answer is also [tex]=\frac{1}{2}[/tex] 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