Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
For concept 4, to find the number of possible outfits, we would have to multiply all the numbers together and by doing this we will get our answer, so 10 times 5 times 20 is equal to 1000 totally different outfits. Concept 5 shows you how to use combination and the equation nCr. Usually the biggest number(1000) is equal to the n and the smallest number of groupings(4) is equal to r. If you plug it into the calculator, you will get 3,921,225 different ways to arrange each tie in his closet. For concept 6, it is similar to concept 5 but since two things are happening at the same time, we would multiply both together. But you have to make sure that each number goes with its corresponding pair such as women would be group up with a different nCr than the men. So we would take 20 C 12 times 52 C 2 and get 167, 036,220 different groups that Barney can form and hire. Concept 7 uses a new formula called nPr and this formula tells us that the order in which things happen matters. If Barney called one number from his list of 12, he would have 11 numbers left to call the second time, and 10 for the third. So we would write it out as 12 times 11 times 10 or 12 P
3 and get that Barney can call 3/12 numbers in 1320 different orders. Concept 8 is the same as concept 7 but wants to get rid of repitions, so we count up the total number of letters in LEGENDARY and put it as a factorial for the numerator and we add factorials for each repeating letter in the word such as the letter E. It appeared twice in LEGENDARY so it would have a 2! in the denominator.
For concept 9, it is basic probability so Ted counts as 1 person and what are the chances of him getting pick out of 4 other people is 1/5. For concept 10, we are trying to figure out the chances of having the 34th law land on the 15th page, so to land on 1 of the 100 laws and 1 of the 50 pages, we would multiply them together and you get your probability of 0.02%. For concept 11, we want to figure what the chances of the first two pick will be without replacement, so there are a total of 2/10 ladies taken and 8/9 single ladies left. Multiply them together and you will get 8/45. For concept 12, Barney is a babe magnet and doesn't what care of women he takes home, so he plans to take home all the married ladies (1/5) or half of the single ladies (4/10) back to his place. The chances of Barney being able to do that is if we add up the two fractions together and figure out that Barney has a 6/10 or 3/5 chance of having his wishes granted. For concept 13, Barney needs to know the probability of one of the ladies choosing an ace or a diamond. We find out there are 4 aces in a 52 pack of cards and 13 diamonds in that same pack. But we know there is an Ace of Diamond already so we subtract that fraction to the sum of the other two and receive 16/52 or 4/13 chance. For concept 14, we would have to use nCr again but instead with fractions. We have to make sure that the values of the n in the numerator add up to the value of the n in the denominator and the same goes for the r value. The first nCr in the numerator is for how many of something you know and the # of something you want. The second nCr in the numerator is how many of something is left or you don't know and how many of something you might get wrong. The nCr in the denominator is just the total of the nCr's in the numerator. So we would solve it all out and get two percentages for each mini problem.
Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
Create your own Playlist on MentorMob!
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