Probability

1/6

The numerator is the number of outcomes you would find acceptable (in this case ONLY the number 2)

The denominator is the number of all possible outcomes (6)

Assuming we're drawing two cards, one of which is red and the other is a queen...

There are 26 reds/52 = 1/2 chance of red

If the first card is not a queen (12/13 chance), the odds of next drawing a queen is 4/51. Total probability is (1/2)(4/51) = 2/51.

If the first card was a queen (1/13 chance), the odds of getting another queen is 3/51, for a total of 3/102.

Weighted average the two (12/13)*(2/51) + (1/13)*(3/102) = 3.85%

Could also do it in reverse order

Queen first - 1/13

If first card was red, chance of another red is 25/51. Total probability of 25/13*51.

If first card was black, chance of red is 26/51. Total probability of 26/13*51=2/51.

Average the two (25/26*52 + 2/102) = 3.81%

Add up the probabilities - 7.66% chance

In terms of whether it is physically possible or not, yes, you can.

In terms of legality, yes, it is legal in all levels of basketball. Whatever gets the ball through the hoop. They cannot restrict your style of shot.

There are two possibilities for rolling three once, so the probability of this even is 2/36 or 1/18.

Since each roll is an independent event, the total probability is:

P(rolling three three times) = (1/18)3 = 1/5832

50%. There are three dice; each die has 6 faces.

He got only one Red Card

Face cards are a King, Queen, or a Jack. There are 4 cards of each. So including the the 4 fives there are 16 total cards to pick in a standard deck of 52 cards.

16/52

= 4/13

The second part of the question is not specific enough. Is it 3 on the roll of a die, a spin of a spinner, a card from a deck, a roulette wheel?

The second card cannot be the same as the first. Thus the first outcome affects the second and so the events are not independent.

50%

The total number of ways of arranging them in a line is 6! = 6*5*4*3*2*1 = 720.

Not necessarily. The answer depends on the event under consideration.

Not necessarily. The answer depends on the event under consideration.

Not necessarily. The answer depends on the event under consideration.

Not necessarily. The answer depends on the event under consideration.

Yes.

Any dichotomous event will do.

Event 1: an integer is odd

Event 2: an integer is even

Or Male and Female (leaving out hermaphrodites!)

Assuming a fair die and only one roll, the probability is 1/6.

if the two events are independent of each other:

(0.45)$55,000 + (0.3)$40,000 + (0.15)$15,000 + $0 = $34,500

This was achieved by adding the expected amount received each of the four outcomes: both receptions((0.6*0.75)(15,000+40,000) = 0.45($55,000), Either outcome ( 0.6(1-0.75)($15,000) or 0.75(1-0.6)($40,000)) and neither outcome((1-0.6)(1-0.75)(0)).

maths is a universal language used for almost everything you do,for example,maths is used to see the time,to shop,to calculate how much money one earns,how much one spends,the distance between two places,measure the amount of ingredients used to make a dish,i.e. in cooking,measuring your height, weight,body temperature, to measure the amount of land you are buying/selling, etc, controlling the volume of the television,etc.

there are a countless number of things we do using maths.there are a few more things like in sports, to measure the length of a running track,the depth of a swimming pool,the timing of athletes school,to calculate average marks,to distribute the no. of students equally in each class,student-teacher ratio,the calculation of how many children are having school lunch,and many more things. maths is a marvellous discovery made by variuos Indian philosophers such as aryabhatta,and many more.the concept of the zero or 'shoonya' is a very important and great discovery made again by Indians. math,even though greatly detested by many of nowdays children is a great thing,as it is helpful in many many ways.

1,757,600

7! = 5040 ways.

The answer depends on the distribution. But since you have not bothered to share that crucial bit of information, I cannot provide a more useful answer.

...from what? Is is essential to know the properties of the items you are drawing from.

If the question applies to a deck of cards (which the wording alludes to), then the probability is 1/13.

There are 4 9's in a deck of cards, and there are 52 total cards. 4/52=1/13

The mean absolute deviation (from the mean) is 4.75

Probabilities are given a value between 0 (0% chance or will not happen) and 1 (100% chance or will happen). You cannot have a negative percent for something that will not happen or a percent greater than 100 for something that will happen.

3 out of 18

surgery remained a relatively crude science up until the early 1900s.

If 2 standard dice are rolled, the odds of getting a sum of 16 is zero.

The highest sum possible is 12.