Probability

It is approx 0.99989, that is, a near certainty.

The question should be ..............from a deck of '54' cards.

P(a joker from 54 cards) = 2/54 = 1/27

Well... the probabilities should add up to exactly 1 and cannot be negative.

The relations depend on what measures.

The sample mean is an unbiased estimate for the population mean, with maximum likelihood.

The sample maximum is a lower bound for the population maximum.

Arithmatic Mean

300 points scored in bowling?

This isn't filled like your normal standard stapler. First, pull up the top half of the stapler (the actual part that holds the staples and basically does all the work. Second, push in the two side buttons that are about 1/4 of the way down from the front of the stapling head. This will open the staplereservoir. There is a rod inside that has a round disc that comes out the back. Grab ahold of the disc and push in then lift up. This will release the rod. Pull the rod all the way back, as far as it will go. It doesn't come out, it will stop once it reaches the farthest back position. Lift the rod up to approximately a 90 degree angle. The staples go inside the opening that is now exposed. The basically rest along a rail. Push them in as far as they go and then return the rod you just pulled out and lifted up to it's natural parallel position. Push the rod back in, allowing the spring on the rod to create the tension needed to hold the staples in place and snap the catch clip near the back of the rod (just in front of the disc) back down into place. That's it! It sounds more complicated than it is but it's really not at all once you do it one time.

The probability of picking one red card of a deck of 52 playing cards is 26 out of 52, or 1 out of 2.

The probability of rolling a number greater than 6 on a die is 0.

There are 4 Kings in a deck of 52 cards, so the probability of picking a King is 4/52 or 1/13.

Subtraction and division.

While 2+ (3+4) = 2+ (4+3), the subtraction 2-(3-4) ≠ 2-(4-3). One yields 3 while the other yields 1.

Similarly, multiplication has this property while division does not.

1% total

0.5% in either direction

It depends what you mean by outcome. If you are interested in the total number of different outcomes, then there are 6 x 6 x 6 x 6 or 1296 unique possible outcomes. If you are only interested in the total (the sum) of the resulting roll, it can be anything from 4 to 24 so there are just 21 possible outcomes.

No, the Z-test is not the same as a Z-score. The Z-test is where you take the Z-score and compare it to a critical value to determine if the null hypothesis will be rejected or fail to be rejected.

An event that will definitely happen is an event with 100% probability.

The sample space is HH, HT, TH, HH. Since the HH combination can occur once out of four times, the probability that if a coin is flipped twice the probability that both will be heads is 1/4 or 0.25.

I will deal with you later

A researcher wants to go from a normal distribution to a standard normal distribution because the latter allows him/her to make the correspondence between the area and the probability. Though events in the real world rarely follow a standard normal distribution, z-scores are convenient calculations of area that can be used with any/all normal distributions. Meaning: once a researcher has translated raw data into a standard normal distribution (z-score), he/she can then find its associated probability.

A standard deck is 52 cards. These 52 cards are divided evenly into 4 suits - spades, clubs, diamonds, and hearts. There are 13 cards in each suit, ace through king. Therefore, there are 13 spades in a deck of 52 cards. 13 is one fourth of 52 which makes the probability of drawing a spade 1/4, .25, or 25 percent.

If it is a fair coin then 50/50 or 1 chance in 2. The coin has no memory of the tosses that went before.

There are 2 coins, 1 and 2. Each has two possibilities, H or T.

The possibilities are:

1H, 2H

1H, 2T

1T, 2H

1T, 2T

Each possibility has an equal chance of happening.

The chance of tossing at least one head is 3/4.

100*14/400 = 3.5%

Probability of rolling an even number on a die is 1/2.

The sample space is 62 or 36. The easier way to do this problem is to find the probability of doubles or 10 and subtract from 1. The probability of a double is 6/36 (1,1; 2,2; 3,3; 4,4; 5,5; 6,6). There are 3 ways to get a 10; 4,6; 6,4; & 5,5. We already counted 5,5 in the double so there are 2/36 we add to the 6/36 to obtain 8/36. So, 1-8/36 = 28/36 or 7/9 or 0.7778 probability that neither double nor a total of 10 will appear.