Probability

Of 26 black cards, 2 are aces... 1 in 13, or ~7.7%.

Kate used fertility treatments to conceive all 8 children, Cara and Madi are fraternal twins.

If you place 3 marbles in each box then the probability is always one half or 50%. If you do not put exactly 3 marbles in each box, the probability will become less than 50%. It does not matter what colors of marbles you put in each box.

In an ordinary deck of cards, there are 52 cards out of which 13 are spades. This means that the chances of drawing the first spade is 13 out of 52. The probability of the second spade is 12 out of 51 because one spade and, incidentally, one card are now missing. The third spade comes out as 11 out of 50 and the last one as 10 out of 49.

Total probability of events that don't affect each other is the product of the individual probabilities. Thus, the chances of drawing four spades is (13 / 52) * (12 / 51) * (11 / 50) * (10 / 49), which is about 0.00264 -- in other words, one to 379.

15

Empirical

apex students xp

The probability of getting 3 is virtually 1.

It is 1.76 septillionths less than 1.

Four: diamonds, hearts, spades and clubs.

The probability is extremely close to 0. The person who is 85 now would be 121 or more in 2050. Of the 7 billion people in the world today, a lot fewer than 700000 will live to 121. And that is a probability of less than 0.0001.

If it a fair die, the probability is 1/3.

The answer depends on whether A and B can occur together, that is, if they are mutually exclusive.

2.275 %

If an Equip Spell Card is sent back to the Deck, it is no longer equipped to a monster, and therefore, the monster does not gain the benefits. If a monster equipped with an Equip Spell Card is sent back to the Deck, the Equip Spell Card is destroyed.

one fourth

Birthdays are not distributed uniformly over a year but if, for the sake of probability games you assume that they are, then ignoring leap years, the probability is 0.5687. Including leap years, it is slightly lower.

Assuming the 4-sided die is numbered 1 to 4 and the 12 sided one is numbered 1-12, the answer is 4/(4*12) = 1/12

The mean absolute deviation is the sum of the differences between data values and the mean, divided by the count. In this case it is 15.7143

In a standard deck, it is 12 in 51, slightly less than 1/4.

I don't know if this is printed in the rules, but if they don't notice and you have vacated the property, you don't have to pay.

One in six.

Sample space:

{hhh,hht,hth,htt,ttt,tth,tht,thh}

8 possible outcomes

Total possibilities of any 4 from 22 is (22 x 21 x 20 x 19)/(4 x 3 x 2) ie 7315.

Any 2 boys out of 8 is (8 x 7)/2 ie 28 and any 2 girls out of 14 is (14 x 13)/2 ie 91.

These pairs can be combined in 91 x 28 ways ie 2548 so probability of 2 & 2 is

2548 out of 7315 which is 0.35 all but a whisker!

Yes, you can roll one die (of a two dice set) at a time. Statistically, since they are unrelated, even if rolled together, it does not matter if you roll one or two at a time.

It is p3.