Probability

There are loads of scratch cards across the world and the winning probabilities are all different.

No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.

The probability of rolling at least one 2 in fifty rolls of a standard die is 1 - (5/6) 50, or about 0.99989012.

This calculation starts by looking at the probability of not rolling a 2, which is 5/6. To repeat that 50 times in a row, you simply raise that to the 50th power, getting 0.000109885. Then you subtract the result from 1 to get the probability of not succeeding in not rolling a 2 in fifty tries.

Expressed in normal "odds" notation, this is about (100000 - 11) in 100000, or about 99989 in 100000.

Since you haven't seen fit to tell us problem 2, we'd only be guessing.

it would be 2*2*6 which would equal 24

Take for example, flipping a coin. Theoretically, if I flip it, there is a 50% chance that I flip a head and a a 50% chance that I flip a tail. That would lead us to believe that out of 100 flips, there should theoretically be 50 heads and 50 tails. But if you actually try this out, this may not be the case. What you actually get, say 46 heads and 54 tails, is the experimental probability. Thus, experimental probability differs from theoretical probability by the actual results. Where theoretical probability cannot change, experimental probability can.

The probability of drawing a heart from a fair deck is 1 in 4. If the card is replaced then the probability is again 1 in 4.

The probability of drawing a card other than a heart is 3 in 4. Once again if the card is replaced then the probability remains 3 in 4

Singular: die

Plural: dice

Nonsense: dices!

The probability is 2/36 = 1/18

50/50 the odds are split

The probability that five cards chosen at random from a standard deck will all be the same suit is

12/51 * 11/50 * 10/49 * 9/48 = about 0.2%.

There are 4*3*2*1 = 24 of them.

The normal distribution occurs when a number of random variables, with independent distributions, are added together. No matter what the underlying probability distribution of the individual variables, their sum tends to the normal as their number increases.

Many everyday measures are composed of the sums of small components and so they follow the normal distribution.

The answer depends on how many numbers on the spinner, and their distribution. Without that information, it is not possible to answer the question.

It is 0.2676

The probability of drawing a red spade is zero. There are no red spades in a standard deck.

It is a certainty if you pick 5 cards.

I f you flip the same coin 5 times in a row, chances are 1/32 ( 1/2 each flip multiplied 5 times)

Ans: 1 in 32

Six on a standard die.

On a 6-sided die, the probability of not having a six is 5/6, or 83 1/3 %

z = (80 - 100)/20 = -20/20 = -1

Look up a table of z-scores: Probability = 15.87%

5040

Zero.

No.

432