I trust this will assist you.
There are 28 combinations.
Step-by-step explanation: Initially, each of the seven bins holds one ball, leaving two remaining. If both are placed in the same bin, that offers 7 options. Conversely, if each remaining ball is positioned in different bins, the combination comes down to: 21 + 7 = 28 ways.
In this scenario, we aim to assess if pennies are genuinely fair when tossed, indicating that they have an equal chance of landing heads or tails. Therefore, the appropriate hypotheses are as follows: Null hypothesis: Alternative hypothesis: A hypothesis can be defined as "a conjecture or theory that is based on inadequate evidence and can be subjected to further examination and experimentation. With continued investigation, a hypothesis can typically be validated as true or false." The null hypothesis is defined as "a hypothesis that posits no statistical significance between the two variables in question. It represents what the researcher seeks to refute." Conversely, the alternative hypothesis is simply "the opposite or inverse of the null hypothesis; it is what the researcher aims to substantiate." For this study, we wish to confirm if pennies are indeed fair when flipped, meaning an equal chance to land heads versus tails, hence the proper hypotheses are: Null hypothesis: Alternative hypothesis:
Manny's assertion is flawed; his reasoning lacks adequate support for his claim.
