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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

Why in a normal distribution the distribution will be less spread out when the standard diviation of the raw scores is small?

The standard deviation (SD) is a measure of spread so small sd = small spread. So the above is true for any distribution, not just the Normal.

Define p-value vs - z score?

The p-value is the probability of any event or the level of significance for any statistical test.

The z-score is a transformation applied to a Random Variable with any Normal distribution to the Standard Normal distribution.

What is the probability of getting a total of 7 when rolling two dice?

The least error prone way of doing this is to draw a 6x6 square of all the possiblities when rolling a pair of dice, where one is red and one blue, and work out the proportion of the combinations that sum to 7.

A coin is tossed twice what is the probability that it will show heads both times?

The probability is 0.25.

Look at it this way--if you toss a coin twice, there are four equally-probable outcomes:

  • tails, tails
  • tails, heads
  • heads, tails
  • heads, heads

So the probability of heads twice in a row is one in four, or 25%.
the chance of tossing heads is 1/2 (50%) The chance of tossing the next heads is 1/2 (50%) 1/2 x 1/2 = 1/4 (25%)

In a study using 9 samples and in which the population variance is unknown the distribution that should be used to calculate confidence intervals is?

In a study using 9 samples, and in which the population variance is unknown, the distribution that should be used to calculate confidence intervals is

What is the chance of getting a 3 when rolling a die?

1/6 because there is only one three out of the 6 numbers on the die itself.
1/6
1 in 6 chance. Or 0.166666666666667.
With a single cube, the probability = 1/6 = 16-2/3 percent.

With a pair of cubes, the probability = 2/36 = 5-5/9 percent.

What is the probability that a couple with four children have 2 boys and 2 girls?

1 out of 4. Regardless of what the first two children are, there is a 50/50 chance that each of the following two kids will fulfill the remaining two conditions

When did Samantha Rolls die?

Samantha Rolls died in 1996, in Vancouver, British Columbia, Canada of heroin overdose.

How many 7 of clubs in a deck of cards?

In a normal 52-card "Poker" deck, there is one "7 of Clubs" card. In fact, there's only one of every type except the Joker, and there are generally two Joker cards.

Of course, in Pinochle deck, there aren't any sevens at all.

What is the probability of rolling a number greater than 18?

The answer depends on what you are rolling: three or more ordinary dice, or fewer dice with non-standard numbers on them, or a die with some other shape.

When did Odd Wolstad die?

Odd Wolstad died on January 27, 1971.

What is the probability of 4 boys in a family with 4 children?

In a family with four children, the probability of having four boys is 1 in 16.

What is the probability of not rolling a sum of 5 with 2 dice?

It is 1 - Pr(rolling a sum of 5 with two dice)

= 1 - Pr(1+4 or 2+3 or 3+2 or 4+1) = 1 - 4/36 = 8/9