Question

Barbara claims that her horse can do simple addition problems. She showed her horse 8 different cards with simple addition problems, and the horse was able to tap his foot to indicate whether the answer was correct or incorrect. The horse correctly identified all 8 cards. Eric didn't believe Barbara's horse could do addition, so he set up a trial to test whether the horse was just guessing. He flipped 8 coins to see how many would land tails up. He did this 53 times, and the results are shown in the dot plot below:
A dot plot with values of 1, 2 3, 4, 5, 6, 7, 8 corresponding to frequencies of 3, 5, 8, 11, 8, 7, 5, and 1 respectively.

Based on these results, can Barbara's horse add?

Yes, the chances of getting 8 correct by guessing are very low
No, the chances of getting 8 correct by guessing are very low
Yes, it is likely to get them all correct
No, horses can't add

Answer 1

Answer:

"Yes, the chances of getting 8 correct when guessing are very low"

Step-by-step explanation:

The point diagrams show us how likely is the occurrence of an event. When casting 8 coins there is a chance to get between 1 and 8 tails.

The dot plot tells us how many times 1, 2, 3, 4, 5, 6, 7 or 8 tails were obtained. When the number of trials increases, then the value with the most points in the diagram represents the number of queues most likely to be obtained, and the value with fewer points represents the least probable number of queues that can be obtained by casting 8 times a coin .

The dot plot for the experiment shows that it is very unlikely to get 8 queues when casting 8 coins. Of 53 times, this only happened once.

Just as it is unlikely to get 8 tails when throwing 8 coins, it is also unlikely that a horse guesses the 8 correct answers of the 8 simple sum problems. Then, the horse of barbara maybe did not guess the 8 answers.

Therefore the correct answer is option A:

"Yes, the chances of getting 8 correct when guessing are very low"