Probability

It depends on the underlying distribution. If Gaussian (standrad normal) then the percentile is 77.

Marble is a metamorphic rock and the hardness of the marble is determined by the indigenous rock of the area rather than color. There are some white marbles, such as Vermont White (from Brazil) that had a hardness close to that of granite.

Form a normal pack of 52 cards (no Jokers), it is 2/13 or approx 0.154

It depends on what the experiment is.

The same probability of rolling a 6 on any roll, you have 1 sixth of a chance or 1 out of 6 or 1/6. The 8th roll is independent from all remaining rolls.

There are so many gymnastics terms that you couldn't name them all on the spot. But here are thirty terms ranging from level 7 -10; # Leg Kicks (Warm up skill) # Split leaps (on the floor or the beam) # Split-change leaps (floor or beam) # Tuck jumps (floor or beam) # Tsukaharra (vault) # Fly away (Uneven Bars) # Kip (uneven bars) # Giant (uneven bars) # Clear-hip circle /clear-hip circle to handstand (uneven bars) # Hand-spring Front (Vault) # Round-off (Floor) # Flick (Beam or floor) # Front Sault (beam, bars, floor, vault) # Back sault (beam, bars, floor, vault) # Full Turn (floor or beam) # Toe-on-toe-off (uneven bars) # Hiccup (uneven bars) # Straddle jump (floor or beam) # Backward walkover (beam or floor) # Pike jump (floor or beam) # Wolf jump (floor or beam) # Layout (floor, beam, uneven bars) # Handspring full twist (vault) # Punch front sault, round-off, flick, layout double (floor) # Forward roll (floor or beam) # Arch (body position) # Dish hold (warm up skill) # Mount (uneven bars or beam) # Dismount (uneven bars or beam) # Tuck (body position) Alright, well, there is a few :)!

opps i dont know the question

<sorry>.....

The probability of not rolling a sum of six with two fair dice is 1 minus the probability of rolling a sum of six.

There are 36 permutations of rolling two dice. Of these, five sum to six, 1+5, 2+4, 3+3, 4+2, and 5+1. The probability, then of rolling a sum of six is 5 in 36.

The probability, then of not rolling a sum of six is 31 in 36, or about 0.8611.

The first digit has to be in the set [1-6] because, if it were zero, it would not be a three digit number. The number of combinations, not using duplicates, of three numbers from the set [0-6] is 6 times 6 times 5, or 180.

The sample mean is distributed with the same mean as the popualtion mean. If the popolation variance is s2 then the sample mean has a variance is s2/n. As n increases, the distribution of the sample mean gets closer to a Gaussian - ie Normal - distribution.

This is the basis of the Central Limit Theorem which is important for hypothesis testing.

1 in 5.45 of picking at least 2 blue marbles

any 2 from 3 is 3

correct picks =3X7(red)=21 of 2 blue only

1 pick of 3 blue only

any 3 from 10=120

120/22=5.45

0.35

There are 4 suits (heart, club, diamond, spade) and 3 royals: king, queen, and jack. Since you only want to know 2 of them, take 4 (number of suits) and multiply it by 2 (number of royals). There are 4 queens and 4 jacks in a deck of cards.

1-2

On average every day there are 1.9 million people celebrating their birthday. That is the total global population (7 billion) divided by the number of days in a year (365).

Probability is the number of ways an event can occur divided by the number of total events. The number of ways a red ace can occur is 2 (ace of hearts, diamonds) and total number of events is 52 (standard deck has 52 cards). So the probability is 2/52 or 1/26.

The J-Curve, as posited by Ian Bremmer in "The J Curve: A New Way to Understand Why Nations Rise and Fall" says that if you plot political openness on the horizontal axis and a society's stability on the vertical axis, the resulting graph will have a J shape. This is, very repressive regimes are very stable. However, as they begin to become more open (move to the right horizontally), they become less stable initially (move down vertically), reach a point of minimum stability, then become more stable. This may explain why some very repressive regimes (Iran, North Korea) may be more stable than some partially-open countries. Also, other factors can affect the overall shape and position of the J curve. A a country gets wealthier, the entire J-curve can shift upwards, increasing stability at every point.

5/5

This is easier to solve by looking at the reverse problem, what is the probability of the sum being 11 or more. Out of the 6*6 = 36 outcomes, three (5,6), (6,5) and (6,6) satisfy this event. So the probability of getting a sum of 11 or more is 3/36. So the probability of less than 11 is 1-Pr(>=11) = 1 - 3/36 = 33/36 = 11/12 or 0.91667

20,000

1/1 - 1/20 - 1/19 - 1/18 - 1/17- 1/16 -1/15 -1/14 - 1/13 - 1/12 = about 45.2 percent

The Gatterman reaction is used to convert benzene to benzaldehyde (and derivatives). You need to use the Sandmeyer reaction to add iodo groups to aromatic rings. I think textbooks sometimes gets the two reactions mixed up.