Answer:
D)The experimental probability is greater than the theoretical probability
Step-by-step explanation:
Given:
75 times a die is rolled out of 39 times it got 6
To Find :
Which statement is true?
Solution:
The theoretical probability is given by the ,
Pt=No.of favorable outcomes/Total outcomes
Here favorable is getting 6 on the die
so how many times we can get 6 =1 time
Total outcomes =6
Pt=1/6
Pt=0.1667
Now for
The experimental Probability ,
Pe=Number times that event occur /Total no of trails
Here 39 times we get 6 and total no trails are 75
Pe=39/75
Pe=0.52
Hence we can say that Pe>Pt.
Answer:
D) The experimental probability is greater than the theoretical probability.
Step-by-step explanation:
the theoretical probability says that each option (1, 2, 3, 4, 5, 6) will be rolled an even amount of times. to work this out, divide the total number of rolls (75) by the total amount of possibilities (6)
75 ÷ 6 = 12.5
so, theoretical probability says that each number should be rolled 12.5 times. The question says that 6 was rolled 39 times.
Theoretical P(6) = [tex]\frac{12.5}{75}[/tex]
Experimental P(6) = [tex]\frac{39}{75}[/tex]
the experimental probability is greater than the theoretical probability
∴ the answer is D
I hope this was helpful :-)
