Johanna is trying to find the probability that a cup will land open end up. She takes a cup and tosses it in the air 1000 times and each time records if it lands open end up or open end down. She finds that 630 times the cup lands open end up. Do the outcomes of the cup appear to be equally likely?
Responses
A Yes, as the probability of each outcome is equal.
B No, as the probability of each outcome is not equal.
C Yes, as the probability of landing open end up is greater.
D No, as the probability of the outcome is not 1.
B No, as the probability of each outcome is not equal.
Don't you think it would end up on its side most often ????
It is possible that the cup could land on its side, but the question specifically asks about the probability of the cup landing open end up or open end down. Without additional information, it is impossible to determine the probability of the cup landing on its side.
To determine if the outcomes of the cup appear to be equally likely, we need to compare the observed outcomes with the expected outcomes.
In this case, Johanna tossed the cup 1000 times and recorded that it landed open end up 630 times. To find the expected outcomes, we need to consider the number of possible outcomes and calculate the probability of each outcome occurring.
Since there are two possible outcomes (open end up or open end down), each with an equal chance of occurring, we would expect each outcome to have a probability of 0.5 or 50%.
If the observed outcomes match the expected outcomes closely, then the outcomes appear to be equally likely. However, if the observed outcomes significantly deviate from the expected outcomes, then the outcomes are not equally likely.
In this case, the observed probability of the cup landing open end up is 630/1000, which simplifies to 0.63 or 63%. Since this differs from the expected probability of 0.5 or 50%, we can conclude that the outcomes do not appear to be equally likely.
Therefore, the correct answer is B) No, as the probability of each outcome is not equal.