How many ways can 5 people sit in a row if 2 of them insist on not sitting together?
The first thing to do is to work out how many ways there are without those 2 people minding. There are 5 possibilities for first place, 4 for second and so on, so the number of ways is 5x4x3x2x1 = 120.
The next step is to work out how many of these possibilities have the two people sitting next to each other. There are 4 ways in which two people can sit next to each other. For each of these ways there are two possibilities, one with one person on the right, and the other with them on the left. For each of these 8 ways, there are 3x2x1=6 ways the other people could have sat. So there are 8x6=48 invalid ways in total.
120-48 = 72
So there are 72 ways 5 people can sit in a row if 2 of them insist on not sitting together.
What is the sketch for a normal distribution?
The normal distribution is a bell shaped curve. Properly normalized, the area under the curve is 1.0. Start by drawing axes. The Y axis is probability, peaking at 0.4, crossing the X axis at the mean, and the X axis is standard deviation. Draw points (-3, 0.01), (-2, 0.05), (-1, 0.25), (0, 0.4), (+1, 0.25), (+2, 0.05), (+3, 0.01). These are all approximations. Connect the dots, understanding that the curve is asymptotic to the X axis.
For a better picture, as well as an explanation, please see the related link below. This picture also shows you the percentage each area, grouped by standard deviation, or sigma, is. The normal distribution is the second picture on the right. Scroll up to see the picture, call "Normal Distribution".
In heads and tails why is is mostly tails?
Is it?
Let's say you flip a coin three times, and it comes up tails each time. You may state that from your experience, tails is preferred overwhelmingly.
But three tails is likely to occur approximately 12% of the time, and three heads also will occur 12% of the time.
So, instead of asking why coin flips are biased to the tails, perhaps it is better to ask what evidence exists showing that one side is more likely to occur than another. I couldn't find any. I attach the link on coin flips.
In other words you will never know unless of course you count the seconds its in the air and look what side it lands on. That always works.
You are dealt a 5-card hand from a deck of 52 cards. Let event F equal "all the cards in your hand are from the same suit" and let event S equal "the numbers of your cards form an uninterrupted sequence."
Which of the following hands are contained in the event F
In order for 4 red marbles to be one-third of a group and 3 blue marbles to make up one-fourth of the same group the number has to equal 12.
What is the probability of winning the jackpot if you play the Florida lotto?
I bet that you will find it printed on the back of any Florida Lotto ticket.
suppose you flipped a coin 100 times you might have flipped heads 50 time and tails 50 times
No it is not, Les then 20% of the worlds men are circumcised and the procedure is usually inflicted upon them before they are old enough to stop it from being done to them. This us usually done in answer to a religious or cultural requirement and in some cases for so called therapeutic reasons reasons. Medial authority's see no advantage in routine circumcision and say that the penis should be left intact unless treatment is required for an existing condition that can not be treated in any other way.
A plain that has formed from periodically overflowing river.
What is 3095sixteen to a base ten numeral?
You can convert this to base ten by re-writing 3096 as a summation of hex powers:
3*16^3 + 0*16^2 + 9*16^1 + 5*16^0 = 12437 in base 10
How many times will the number 4 come up if you toss a 6 sided die 30 times?
The actual number of times 4 comes up is impossible to find, but the expected value of 4 coming up if you toss a 6-sided die 30 times is 5 times.
How many ways can you arrange 5 squres?
With only the information that is given in the question, the answer is infinitely many ways. A single square can be placed anywhere, and rotated through o=90 degrees.
What are the odds of rolling five of any kind with 5 dice?
accumulated binominal distribution 6*f(k;n,p) = 6*f(5;5,1/6)
This is the definition of a "barrier spit".
(A tombolo is a sandbar that connects the mainland to an island, forming a permanent or temporary isthmus, and the island can be known as a "tied island".)
What is the chance of rolling a six on a dice?
1 in 6. There are six possible numbers, and it is one of those, so on one roll you have a one in six chance of rolling a six or any other individual number.
How play coin on 3ds with out getting 10 coin a time for free?
You can't get the play coins without earning them.
Prob of 0 Heads = 1/8
Prob of 1 Head = 3/8
Prob of 2 Heads = 3/8
Prob of 3 Heads = 1/8
Mean number of Heads = Sum of [x*Prob of x Heads] where the sum is over all possible values of x.
= 0*1/8 + 1*3/8 + 2*3/8 + 3*1/8 = 12/8 = 3/2 or 1.5
What is the volume of a water baloon?
September in the North
May in the South
June in the East
December in the west
It's because of genes
If John throws a fair 6 sided die what is the probability he will get a multiple of 3?
The multiples of 3 that can be rolled are 3 and 6
Therefore probability of a success is 2/6 or 1/3
How many combinations can you roll using four dice?
126 combinations.
Remember that the order does not matter.
What are the odds in favor of getting heads in a single toss of a coin?
The probability of heads is 1/2.
How many 3's will i get if i roll a dice 100 times?
the chances of getting a two is 1/6
1/6x100=100/6=50/3
When Rolling 2 dice which outcome is more likely a sum of 2 or a sum of 4?
A sum of 4 is more likely. Out of the 36 possible outcomes with a pair of 6-sided dice, only one will have a sum of 2 {1-1}. Three of the possibilities sum to 4. {1-3, 2-2, 3-1}