A subterranean insect is at one vertex of a square and needs to get to the contrary vertex (where there is food), strolling at the edges of the square. The issue is that on each side, with likelihood p, there might be a hunter keeping it from passing. The insect attempts to go through where there are no hunters. It is realized that the occasions identified with the presence of the hunter on each side They are autonomous. Discover the likelihood that

a) The subterranean insect gets its food.

b) There is at any rate one hunter in the square, realizing that the insect gets its food.

c) There are 4 hunters in the square, realizing that the subterranean insect didn't get its food.

Need assistance with letter b :(

The likelihood that a decent match will in reality light when it is endeavored turning it on is p, autonomous of different endeavors, though a terrible match won't ever turn on. From a case with n great and terrible n matches, you draw a match indiscriminately.

a) If the match doesn't light on the main attempt, what is the likelihood that it is awful?

b) Even accepting it doesn't turn on the principal attempt, what is the likelihood that it will turn on the following attempt?

c) You intend to test the match k occasions, and on the off chance that it doesn't light, you dispose of it. Leave Pk alone the likelihood that when discarding the phosphorus, this is acceptable. Given (0, 1), ascertain the base k to such an extent that Pk is not exactly or equivalent to .

I need assistance with letter b :3

The likelihood that a decent match will in reality light when it is endeavored turning it on is p, autonomous of different endeavors, though an awful match won't ever turn on. From a case with n great and awful n matches, you draw a match indiscriminately.

a) If the match doesn't light on the main attempt, what is the likelihood that it is terrible?

b) Even accepting it doesn't turn on the principal attempt, what is the likelihood that it will turn on the following attempt?

c) You intend to test the match k occasions, and on the off chance that it doesn't light, you dispose of it. Leave Pk alone the likelihood that when discarding the phosphorus, this is acceptable. Given (0, 1), compute the base k with the end goal that Pk is not exactly or equivalent to .

I need assistance with letter A :3

Assume you generally eat a specific brand of cookes out of the standart measured bundle, it roll in from the store, which has 4 columns of treats in equivalent sums. You notice that when you eat 3 all at once, there's consistently one treat left finished. You choose when you buy the following bundle, you'll eat 5 all at once, yet at the same time, there's consistently one treat left finished. Since it truly is'nt helpfull to consistently have an extra treat, you choose to eat 7 all at once, and there are no treats extra, however you notice that in your last get of 7 treats, you're one treat short.

.12

A. On the off chance that you know there are less tha 100 treats in the bundle, what number of treats are there? Take care of the issue, showing each progression of your work, and clarify your reasoning.