SIG quant oa

一共17题我全部拍了，但只能上传3张图片，所以我把文字表述不出来的三题放成了图片，其他的是文字，求加米我很缺米🫶

Question 1
You walk into a barn and see a collection of spiders, chickens, and cows. You notice that there are 520 legs in total. The number of chickens is twice the number of cows and the number of spiders is twice the number of chickens. Compute the number of spiders.

Question 2
I need to sit 5 toddlers at a round table for lunch, but there are some problems!
i. Anna won't sit next to Brian or Eva.
ii. Brian won't sit next to Charlie.
iii. Dixie won't sit next to Eva or Charlie.
If Dixie is sitting to the left of Anna, who is sitting to the left of Brian?

Question 3:图

Question 4:图

Question 5

On Facebook, 70% of stories are real news. Fake news stories have an 80% probability of having at least 100 likes. Real news stories have an
8% probability of having at least 100 likes. If a story has at least 100 likes, compute the probability it is real news.
Express your answer as a fraction in simplest form. Enter the numerator in the first blank and the denominator in the second blank.

Question 6

You roll three fair 6-sided dice. If they all show the same number, you earn $10. If exactly two of the numbers are the same, you earn $20. If all of the numbers are different, you lose $2. Compute your expected return per roll in dollars. Express your answer to the nearest cent. Numbers 0-4 round down and 5-9 round up.

Question 7
Assume that in a bakery, each customer buys only one item at a time.
There ista 80% chance a customer will buy a croissant and a 20% chance a customer will buy a muffin. There are only 2 croissants left and 5 people are still waiting in line. Compute the probability that these two

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lank.


Question 16
Suppose you have 3 tokens for a betting game and your goal is to bring your fortune up to 5 tokens before running out of tokens. You devised a bold betting strategy where every turn, you wilt bet as many tokens as possible against the house but not any more than necessary to bring you to 5 tokens. You always have a probability of 2/3 to win the bet. Compute the probability you reach 5 tokens before running out.
Express your answer as a fraction in simplest form. Enter the numerator in the first blank and the denominator in the second blank.

Question 17
A frog is travelling from point A(0, 0) to point B(4, 6) but each step can only be 1 unit up or 1 unit to the right. Additionally, the frog refuses to move three steps in the same direction consecutively.
Compute the number of ways the frog can move from A to B.

求米谢谢☺️

忘记写了question14也在图里，那个图没拍全，我把照片放下面了

太可惜了，我写完才来翻，本来准备随便写写的。我最后三题都没时间写了。后半段的计算量挺大的，验算花了太多时间。而且，有几题的数字跟你不太一样。话说楼主过了吗

Q14感觉超好玩，先把四个4弄出来，然后两个3，剩下的试两下出结果，像是数独一样哈哈

微信用户_5081f99 发表于 2025-10-17 01:12:09
太可惜了，我写完才来翻，本来准备随便写写的。我最后三题都没时间写了。后半段的计算量挺大的，验算花了太多时间。而且，有几题的数字跟你不太一样。话说楼主过了吗

我全gpt的不知道过了没诶

哈哈哈那我盲猜你应该过了，gpt解这种东西巨强