Probability

Probability (P) of A or B is: P(A) + P(B) - P(A and B). Apply to the question is: P(Q) + P(Club) - P (Q&Club) = 4/52 + 13/52 - 1/52 = 16/52 = 4/13 or .3077 or 30.77%.

At Z = 0.25, the area (larger) to the left of the line is 0.5987. The smaller area to the right of the line is 1 - 0.5987 = 0.4013. Therefore, the smaller section corresponds to 40.13% of the area.

From the table in the related link, Z = 1.43, area to left is 0.9236. This is read directly from the table.

When rolling one die, the probability of getting a 4 is 1 in 6, or 0.1667. If two dice are rolled, you get two unrelated chances of rolling at least one 4, so the probability is 2 in 6, or 0.3333.

For normally distributed data. One standard deviation (1σ)

Percentage within this confidence interval
68.2689492% (68.3% )


Percentage outside this confidence interval
31.7310508% (31.7% )

Ratio outside this confidence interval
1 / 3.1514871 (1 / 3.15)

Probability of drawing a 7 or 9 is the probability of draw a 7 plus the probability of draw a 9 which is 4/52 + 4/52 = 8/52 = 2/13 = 0.1538.

zero to one. 0 to 1.

The fact that probabilities are proportions means that they are less than or equal to 1.

Prob. of Landing on one side = 0.5
Prob. of Landing on the other = 0.5

Therefore, Prob. of Landing on one side or the other = 0.5 +0.5 = 1

:)





I think you mean 'landing on its edge'. In that case it depends on the coin (some even have rounded edges).


Interestingly what face a coin lands on is not exactly 50/50. Each person has an individual flipping-style which leads to a different side being preferred (not explicitly heads vs. tails but in 'landing with the same face upwards as was upwards at the beginning of the flip' vs. 'landing with the other face upwards to the way it started'). On average (with most people) the coin lands the same way up as it started more often than not (you'll have to do hundreds and hundreds of flips before you notice this).




If (like me) you want to be really pedantic you would also take into account the very slight possibility that the coin won'tland at all.

2.326

The probability of an event occurring can be found by dividing the number of favorable outcomes (what you want to happen) by the number of possible outcomes

number of favorable outcomes

probability = _________________________

number of possible outcomes

18

Probability

150

Five numbers (5, 6, 7, 8, 9) can be selected for each of the 5 digits. So, there are 5*5*5*5*5 or 55 or 3125 five digit numbers.

1

Set up the problem as: y=number of yellow marbles & 4y=number of blue marbles. 40=y+4y or 40=5y or y=8. Therefore number of blue marbles is 4*8 = 32.

67% as it's +/- one standard deviation from the mean

Cold fusion

Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.

The following is the probability of obtaining 4 ones IN THE FIRST FOUR rolls of a fair die.

Pr(4 1's) = Pr(1)*Pr(1)*Pr(1)*Pr(1) since the events are independent.

Pr(4 1's) = Pr(1)4 = (1/6)4 = 1/1296 = 0.000772

20% or 1 in 5 chance.

Hope that helps :)

You find out a quiz score by waiting for the quiz to be graded and returned to you. If it is not returned, you ask the teacher or proctor of the quiz.

The Z value is 0.