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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

What is a naturally occurring event that threatens people and their activites?

  • earthquake
  • mudslide
  • volcano
  • hurricane
  • tornado
  • flood
  • torrential rain
  • epidemic
  • pandemic
  • lightning strike
  • infestations of locusts, mice, rats or other creatures

How can the probability of a coin landing on heads or tails be useful in real life?

There are many event, in real life, which have binary outcomes (A or B0 which are equally likely. In studying such situations the coin probabilities are obvious analogies.

What is the probability of flipping 3 dimes at once and getting two heads and a tail?

HHH

HHT

HTH

THH

HTT

THT

TTH

TTT

Of the 8 possibilities, 3 have 2 heads and 1 tails. So the probability is 3/8 (assuming a fair coin)

What is the probability of choosing a face card of a jack or queen or king on the second draw if the first draw was a ace without replacement?

The probability of drawing a jack, queen, or king on the second draw if the first draw was an ace (without replacement) is (4 + 4 + 4) in (52 - 1) or 12 in 51, which is 4 in 17, or about 0.2353.

How are variance and standard deviation used as measures of risk for both a security and a portfolio?

Risk reflects the chance that the actual return on an investment may be very different than the expected return. One way to measure risk is to calculate the variance and standard deviation of the distribution of returns.

Consider the probability distribution for the returns on stocks A and B provided below.StateProbabilityReturn on

Stock AReturn on

Stock B

120%5%50%

230%10%30%

330%15%10%

320%20%-10%

The expected returns on stocks A and B were calculated on the Expected Return page. The expected return on Stock A was found to be 12.5% and the expected return on Stock B was found to be 20%.

Given an asset's expected return, its variance can be calculated using the following equation:

where

  • N = the number of states,
  • pi = the probability of state i,
  • Ri = the return on the stock in state i, and
  • E[R] = the expected return on the stock.

The standard deviation is calculated as the positive square root of the variance.

Note: E[RA] = 12.5% and E[RB] = 20%

Stock A

Stock B

What is the probability of not rolling an even number on 1 dice?

it would be 1/2, as tere are 6 numbers, 3 even, 3 odd, so it would be 3/6, which cancelled down is 1/2

What differentiates a probability from a probability distribution?

A probability indicates the likely-hood that a particular event occurs out of a set number of observations or measurements. A probability distribution allows relative comparison of probability of an event with any other possible event.

In which month the first Thanksgiving celebration was probably held?

The first thanksgiving was celebrated in the fall. No one really knows what month it was celebrated in. we just know that it was celebrated in the fall.

Who do you Add Probabilities?

I do not add probabilities to anybody!

How do you figure out the probability of 2 separate events For instance what is the probability of flipping a coin to heads and rolling a 5 on a dice?

You take the probability of each event and multiply them. In the case of the given example, your odds or flipping a head and rolling a 5 would be 1/2 * 1/6, which equals 1/12.

How many black jacks in a standard deck of 52 cards?

There are two black jacks in each deck of cards. There is a jack of spades and a jack of clubs. Each deck of cards has two suits that are black, spades and clubs. Each deck also has three face cards (cards that depict a person), jack, queen and king, for each suit. Therefore, there are two black jacks (jack of a black suit) in each deck of 52 cards.

What is it called when you get a probability that is 0?

It is usually called impossible; some call it the empty set.

Why do you use confidence intervals?

Statistical estimates cannot be exact: there is a degree of uncertainty associated with any statistical estimate. A confidence interval is a range such that the estimated value belongs to the confidence interval with the stated probability.

When two identical six sided dice with from one to six dots on each side with no two sides containing the same number of dots How many possible outcomes are there if you throw the two dice?

It depends...

you should probably do it like this...

1-1

1-2

...

you know that will be 6

then...

2-2

2-3

...

that will be 5

so you just add 6+5+4+3+2+1. BUT if you can have doubles (eg. 1-2 and 2-1), then you have to go 6*6, which would equal 36. I'm sorry if this isn't easy to understand, so you may wanna check out wolframalpha (itz i site)