Probability

We use three coins (quarter, nickel, dime) each are flipped only once. We get 8 possible outcomes (or four outcomes as an alternative).

that all depends on which facts you acknowledge as a priori state for this situation.

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There are 13 clubs in a deck of 52 cards. The probability of drawing 1 club from a deck of 52 is 13/52 or 1/4.

About 48% or if you want to be more accurate the actual answer was 47.826%

We'll assume standard six-sided dice.

The first die rolls... well, whatever it rolls. It doesn't really matter what the specific number is.

The second die can come up any of six different ways. One of those ways is with the same number as the first, the other five are different.

So the chances of rolling two dice and getting the same number on both is 1/6.

Four lizards, is one possible answer.

There are 676,000 ways to make the license plates.

Probability is what chance something has to happen. The Punnett Square is a way how to predict in genetics how likely an offspring is to have a trait passed on from parents, or in other words find out the probability of a trait being in the phenotype or the genotype.

An outcome is the result of a single trial.

examples: one toss of a coin

You could draw in the two diagonals (from corner to opposite corner). You could draw two perpendicular lines to develop four squares inside the existing square. You could draw three parallel lines to develop four equally-sized rectangles within the square.

20

The probability of the event is 25/36.

Since each event is independent (heads in one coin does not affect the probability of the other two coin flips), the multiplication rule applies: 1/2 x 1/2 x 1/2 = 1/8 or 0.125. So we can say the probability is 12.5%.

That depends on what kind of dice you are rolling and how many of them you roll. If you roll two 6-sided dice once, the probability of getting the number 100 is exactly zero. You cannot get a 100 on one roll of two 6-sided dice. Other dice and different numbers of them may yield different probabilities.

The first answer wasn't valid at all.

The first answer 5 out of 3 doesn't make sense. It would depend a lot on where you were enforcing the law as well as what type of law enforcement you do. Someone in Tokyo would have almost no chance, while someone in Bahgdad would be almost certain to have a gunfight at soome point. In the US it is uncommon for the average policeman to ever fire his weapon in the line of duty, except at the range.

Sum Rule:

P(A) = \sum_{B} P(A,B)

Product Rule:

P(A , B) = P(A) P(B|A) or P(A, B)=P(B) P(A|B)

[P(A|B) means probability of A given that B has occurred]

P(A, B) = P(A) P(B) , if A and B are independent events.

Depends on the parents.

You can never be sure. The more often you toss it the closer the probability gets to a 50-50 split but there is no guarantee.

i love you to all of the colores

odds in favor is when the number you want is first and the number out of is last.

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Using a tree diagram to solve this is using a sledge-hammer to crack a nut. the answer is (26/52 )(25/51)(24/50) or 6/51 = 2 / 17