Aset of cards contains cards numbered 1 – 8. mrs. jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. the class will conduct 1,000 trials. based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?

The best prediction for the number of times a 4 will be drawn from the pile is:

                        125

Step-by-step explanation:

It is given that:

A set of cards contains cards numbered 1 – 8.

So, the theoretical probability that 4 comes up is:

Ratio of Number of favorable outcome( outcome of 4) to the total umber outcome(i.e. 8 )

Hence, Theoretical Probability that 4 is drawn=1/8

Now, out of 1000 trials the best prediction of number of times 4 is drawn is:

(The probability of drawing 4)×(Number of experiments or trials)  

=(1/8)×1000

=125

as long as

then it’s valid, soo...

the first one is not valid (5,6,sqrt 223)

the second one is Not valid (7,11,sqrt 175)

the third one is correct, since

and (further info)