Question

Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were black. Josh predicted that he would choose a red card in 4 out of 8 trials. When he conducted the experiment, he actually chose a red card 6 out of 8 times. Which explains the most likely reason for the discrepancy between Josh’s predicted and actual results?

A.He incorrectly predicted the number of times he would choose a red card.
B.He incorrectly determined the actual number of times he chose a red card.
C.He used too few trials for the sample space.
D.He used too many trials for the sample space.

Answer 1

Option C - He used too few trials for the sample space.

Explanation:

Given: Josh used a standard deck of 52 cards to conduct an experiment. Half of the cards in the deck were red. The other half were black.

Josh predicted that he would choose a red card in 4 out of 8 trials.

When he conducted the experiment, he actually chose a red card 6 out of 8 times.

To find : Which explains the most likely reason for the discrepancy between Josh’s predicted and actual results?

Solution :

Sample space = 52 cards

As half of the cards in the deck were red.

Probability of getting a red card is
`(1)/(2)`

He predict and conduct to choose a red card out of 8 trials which is not enough for the sample space.

Therefore, Option C is correct.

He used too few trials for the sample space.

Answer 2

Answer: C. He used too few trials for the sample space.

Explanation:

Given: Josh used a standard deck of 52 cards to conduct an experiment.

As half of the cards in the deck were red.

If we take sample space= 52 cards

Then probability of getting a red card
`=(1)/(2)`

But Josh took 8 cards as sample space which is not enough for the sample space.

therefore, C. is the right answer. "He used too few trials for the sample space."