A football team consists of 18 freshmen and 18 sophomores, 15 juniors, and 12 seniors. Four players are selected at random to serve as captains. Find the probability that at least 1 of the students is a senior.

58.05% probability that at least 1 of the students is a senior.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the captains are chosen is not important. So we use the combinations formula to solve this question.

Combinations formula:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

Either no seniors are captain, or at least one is. The sum of these probabilities is 100%. The easier way to solve this question is finding the probability of no seniors being captain, and subtratcing 100 from this. So

Probability of no seniors being captain:

Desired outcomes:

Four captains, from a set of 18 + 18 + 15 = 51. So

Total outcomes:

Four captains from a set of 18 + 18 + 15 + 12 = 63. So

Probability:

41.95% probability of no seniors being captains.

Find the probability that at least 1 of the students is a senior.

p + 41.95 = 100

p = 58.05

58.05% probability that at least 1 of the students is a senior.

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step-by-step explanation:

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there has been genes found in the x chromosome of males that have been linked to [homo/hetero]sexuality. in addition to the reign of the x chromosome, a section of chromosome 8 has also been link to, "alot of ppl are so " these facts were proven true after a 2014 study of a gay male and his strait brother. according to newscientist.com,"chromosome 14 and is mainly active in the thyroid, but also the brain. called tshr, it makes a type of receptor protein that recognises and binds to a hormone that stimulates the thyroid. in this way, the gene plays an important role in controlling thyroid function. the fact that tshr seems to be involved in sexual orientation fits with evidence that thyroid function seems to be linked to sexuality."

in conclusion, "ppl are so gay" due to their genetics.