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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 are the advantages of using the standard normal distribution over the normal distribution?

There is no simple formula to calculate probabilities for the normal distribution. Those for the standard normal have been calculated by numerical methods and then tabulated. As a result, probabilities for the standard normal can be looked up easily.

What is the probability of rolling a six on a die?

The probability is 1 in 6 as there are 6 sides on a dice and an even chance of each side being selected.

If you have 6 sided die and a coin What is the probability that you roll a 5 and the coin lands on heads?

First, note that one even is independent of the other. If A and B are two independent events, the probability of A and B, written P(A and B) is P(A)xP(B). So if event A is the probability of a 5, P(A)=1/6 and if B is heads, P(B)=1/2 So P(A and B)=1/6 x1/2=1/12

What does invironment mean?

The invironment is a term I encountered in Bell's book "An Invitation to Environmental Sociology." He describes it as the human body, which is continuously interacting with the environment and other human bodies. We breathe, eat, drink, and exchange matter with the earth. Toxins in the environment can be stored in our bodies. The idea is that Western society has a limited understanding of nature and the environment. We are not as separate as we tend to believe.

Multiple choice question answer of AM modulation?

amplitude modulation is where we modulate our signal with a carrier signal amplitude changes but frequency remains constant in amplitude modulation

Is each element abbreviated by one or two letter formulas?

Both, it depends on the element. Some have two and some have one

How many ways are there to select 3 cards one after the other from a deck of 52 cards if the cards are not returned to the deck after being selected?

The first card can be selected out of 52 cards, second from 51 cards, and the third from 50 cards. You may be tempted to give the answer as 52x51x50. But recognize that if you select

1 spade, 5 heart, 8 club, that is the same as

5 heart, 8 club, 5 heart

the order does not matter

So we need to find not nPr but nCr = 52C3 = (52!)/((49!)x(3!)) = (50 x 51 x 52)/6

which is 22100 ways

What is the relationship between experimental and theoretical probability?

expiremental: finding the answer by observing it lots of times..

theoretical: its like a theory,, you just guess!!~ <3

What is the probability of being born on the 29th of February?

Fraction:1/1461 Decimal:0.00068446269678302532511978097193703 Percentage:0.068446269678302532511978097193703%

How is Standard and Poors 500 Index's Fair Value calculated?

Since futures contracts on a market index expire only once a month, Fair Value is the Forward Value (at the time of a futures contract expiration) of an index spot price, where compounding takes into account time to expiration and dividends lost due to holding index futures rather than underlying stocks. If Fair Value before the open is lower than the futures contract price, you may expect that a market index will go higher after the opening bell.

Why probability cannot be neigative for event?

Probability is measured on a scale of 0 to 1 meaning at 0 it will not happend but at 1 it will happen

So a negative event is impossible

A bag of letter tiles contains 5 As 3 Bs and 2 Cs what is the probability of picking ABC in order in three draws from the bag without replacement?

The probability of picking ABC, in that order, from 5 A's, 3 B's, and 2 C's, without replacement, is (5 in 10) times (3 in 9) times (2 in 8), or 30 in 720, or 3 in 72, or 1 in 24.

What is the probabilty of getting a black card and then a red king from a deck of playing cards?

There are 52 cards in a pack of playing cards (excluding jokers). The chance of drawing at random a black card from a full pack of cards is 1/2, or 0.5.

There are now 51 cards in the pack, two of which are red kings. The probability of drawing a red king from this pack is 2/51.

0.5 x 2/51 = 0.01960784

So, the probability is approximately 0.0196, or 1.96%.