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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

Why is Judaism so much smaller numerically than the other two religions?

Lots of reasons. One is that Judaism doesn't believe in encouraging people to convert. If someone wants to convert to Judaism, they're welcome to (although discouraged at first), but Judaism has no mass programs to get people to convert. Nor did it usually have forced conversions like the other religions did. Another reason is that Jews have been heavily persecuted over the years and many were killed.

In Excel what function will give you an estimate of the value of a continuous random variable if you know the probability of that variable?

There are infinitely many continuous probability functions and there is no information whatsoever in the question to determine the nature of the distribution: uniform, Normal, Student's t, Chi-square, Fisher's F, Gamma, Beta, Lognormal, etc, etc.

Second, every continuous function must have at least two points for which the probability is the same. There is no information as to which of these two (or more) points is the relevant one.

There can therefore be no answer.

What is the probability that a coin will turn up heads twice in 6 tosses of the coin?

Every time a coin is tossed there is a 50 / 50 chances of it coming up heads. There is no rule that says tossing it 100 or 6 times will change this.

What is the probability of a coin landing on heads this is the results hthhhthtthhthtt thhthtthhhhthtt?

Every time you flip a coin it has a 50% probability that it will land on either heads or tails. You would expect to get heads about half the time and tails about half the time. What actually happens could be different from what is expected. You could get heads every time, or tails every time. Or you could get tails 75% of the time and heads 25% of the time. however, your results appear to be what you would expect, approximately 50% heads and 50% tails. You got 16 heads and 14 tails. Your percentage of heads is 16/30 x 100= 53.33... %. Your percentage of tails is 14/30 x 100 = 46.66... %.

What is the probability of drawing a two or a three from a deck of cards?

52 cards in a pack.

4 two's, 4 three's, hence 8 chances of drawing one of the desired cards out of the 52.

8/52 = 2/13

What is the probability of obtaining a number less than three at the throw of a dice?

There are 6 values, 1 - 6, on the die. Less than 3 is a 1 or 2 roll. So, probability of less than 3 is 2/6 or 1/3 or 33.33%.

1907 Indian head penny?

$2 to $22,500 depending upon the condition of the coin.

How do you find the probability of independent and dependent events?

P(A given B)*P(B)=P(A and B), where event A is dependent on event B. Finding the probability of an independent event really depends on the situation (dart throwing, coin flipping, even Schrodinger's cat...).

What is the probability of getting 3 consecutive 4's on three spins on the spinner?

The answer depends on the design of the spinner: how many sides and what numbers on them.

What is 3.50 as a mixed number?

Therefore, 3.50 as a mixed number is 3 and 1/2

What are the chances of your house getting burgled?

It would depend on the location and crime rate.

Check the local crime statistics for the area.

Is drawing a card from a deck replacing it and drawing a second card an example of an Independent Event?

Yes, it is an independent event. However, if you did not replace the card it would not be an independent event, since you don't have an equal chance of pulling any particular card.

A coin is tossed twice If heads comes up either time you get 2 If heads does not come up you lose 4 What is the expected value of this game?

The outcome space is TT, TH, HT, HH: 4 outcomes in all.

{One head} = {TH, HT} with prob = 2/4 = 1/2

{No heads} = {TT} with prob 1/4

So E = 2*Pr(one H) - 4*Pr(no H) = 2*(1/2)-4*(1/4) = 1 - 1 = 0

What is valid probability?

The probability of an event must be a number in the interval [0, 1].