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Probability
The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.
14,643 Questions
How do you find the probability of independent and dependent events?
P(A given B)*P(B)=P(A and B), where event A is dependent on event B. Finding the probability of an independent event really depends on the situation (dart throwing, coin flipping, even Schrodinger's cat...).
What is the probability of getting 3 consecutive 4's on three spins on the spinner?
The answer depends on the design of the spinner: how many sides and what numbers on them.
Is the any Correlation between class width and student achievement?
There is no correlation between class width and student achievement. Class width is arbitrary (there are rules of thumb for class width, and it depends on the range of the data).
What has a distance of 2000 miles?
take 2000 miles and turn it straight up, it's alot farther especially under water! refernce Milagro and the miranna's trench
Ratio is a fraction. Number of total marbles is the denominator, number of red marbles is numerator. So the fraction is 35/60. This can be reduced by dividing by 5/5, so the simplest form is 7/12.
P(A=4) = 1/6
P(A+B=4) = 3/36 = 1/12
I would go with one die.
Can fraternal twins also be mirror twins?
Mirror Twins are always monozygote twins.
This does not mean that fraternal twins won't be a righty and a lefty - if your family tends to run left handed.
actuary
What is the probability of picking the ace of hearts or ace of clubs?
There is a 1 in 26 change depending on the game (In a standard deck there are 52 cards and you want to pick 2 of then you devide by 2 and you get 26. Hope this helps -Fishchunks
When rolling two dice whats the probability of rolling at least one 6?
Rolling one die, it is 1/6. Rolling two dice, it is 2/6, which can be simplified to 1/3 or 33.33%.
What is the probability of picking an ace a club or a diamond on a single pick from a deck of cards?
There are 13 of each suit in a standard deck of cards. Assuming there are no jokers, the probability of picking either a club or a diamond is (13+13)/52 or 0.5.
There are also four aces in a standard deck. However, we've already accounted for two of them (the ace of clubs and the ace of diamonds), so we're only adding two additional possibilities. The probability of choosing an ace, a club, or a diamond from a standard deck is therefore 28/52 (you can figure the decimal value yourself).
What is the difference between independent and dependent probability?
Select 2 cards, do not put the 1st back in the deck. This is dependent probability. The outcome of drawing the 2nd card depends on the 1st card drawn.
Select a card, look at it and put it back in the deck. Select a 2nd card. These are independent of each other. One does not change the probability for selecting the 2nd.
4/8 or 1/2(probability of first draw) * 3/8(probability of second draw
which is 12/64 or 3/16 of the given scenario.
What is the probability of obtaining a sum of 11 in a single throw with 3 dice?
The probability is 27/216 = 3/8 = 0.125
What is the answer to the monty hall problem?
Stick with your firstchoice and you have a 1 in 3 chance of winning the car.
Change doors and there's now a 2/3 chance you will get the car.
So it's best to switch doors.
What is the diffence between identical twins and fraternal twins?
Identical twins come from one egg and one sperm. Fraternal twins come from two eggs and two sperm.
If there are 10 white socks and 10 black socks what is the probability to pick a white sock?
50% from both so its half!
What is the probability of picking an ace and a king from a pack of playing cards?
The absolute probability is even, given one draw. However, statistically, the chance of drawing an ace and a king as two cards at random is 1: 81.25
Chance of drawing first card is either an ace or a king is 8: 52 (1 in 6.5).
Now the remaining other card (ace or king) is 4 in 51 (1 in 12.5)
*In Blackjack, the drawing of any face card or 10 improves the odds of a natural blackjack using only one deck to 1: 20.8 but the show used holds more than one deck.
What is the Relationship between marginal and conditional and joint probabilities?
The joint probability of two discrete variables, X and Y isP(x, y) = Prob(X = x and Y = y) and it is defined for each ordered pair (x,y) in the event space.
The conditional probability of X, given that Y is y is Prob[(X, Y) = (x, y)]/Prob(Y = y) or equivalently,
Prob(X = x and Y = y)/Prob(Y = y)
The marginal probability of X is simply the probability of X. It can be derived from the joint distribution by summing over all possible values of Y.
What is the probability of throwing three twos with two dice?
The probability is zero since at most there could be 2 two's.
