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?
○ he incorrectly predicted the number of times he would choose a red card.
○ he incorrectly determined the actual number of times he chose a red card.
○ he used too few trials for the sample space.
○ he used too many trials for the sample space.

Explanation:

In probability experiments, a small number of trials (like 8 here) can lead to results differing from predictions due to sampling variability. With few trials, random chance has a bigger impact. Too few trials for the sample space (52 - card deck) causes the discrepancy. Other options are illogical (e.g., he can count actual trials, prediction error isn't the main reason here, and 8 isn't too many).

Answer:

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