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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

Are there nighttime events in Hanukkah?

The main "event" of Hanukkah is the evening candle lighting. (Every night of the 8 nights of Hanukkah the menorah is lit with one more candle; thus on the first evening 1 candle is lit, on the 8th evening 8 candles are lit.)

Candle lighting is done preferably at dusk or as the starts come out. Latecomers can light as long as they have an audience - until dawn.

After candle lighting it is customary to sing songs (like Ma'oz Tzur) and play with a dreidel; a 4 sided Hanukkah-top.

A fair coin has been tossed 100 times resulting in 75 heads and 25 tails The next toss has?

each toss is independent of the previous one(s), so both outcomes are equiprobable.

What is the probability that your friend will pick a 15 or a 16 from 1 to 20?

The probability of picking a 15 or a 16 from the random set [1-20] is 2 in 20, or 1 in 10, or 0.1.

Can 0.245 be a probability?

yes it can . any value belonging to [0,1]

What is the probability of rolling a three or a six on a die then tossing a heads on a coin?

First event is to roll a 3 or 6 on a die, which gives you a probability of 2 out of 6.

Second event is tossing a heads on a coin, so a probability of 1 out of 2.

Since both chances are not related, you can multiply both chances:

2/6 times 1/2 = 1/6 = 0,166666...

What are the next set of numbers after 12 34 35 38 42?

Given any number it is easy to find a rule based on a polynomial of order 5+k such that the first five numbers are as listed in the question and the next k are the given "next" numbers.

However, use the rule

Un = (-6n4 + 83n3 - 411n2 + 874n - 468)/6

Accordingly, the next three numbers are 22, -71, -310

What is the probability of rolling and even number on an ordinary dice?

your set of even number x = {2,4,6}, which tells you that 3 out the 6 sides are even. Your probability is 3/6 = 1/2

What are the 4 r's to prevent head-on collison?

How about r for reverse. If you are always moving in reverse you can never have a head on collision. Simple!