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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

What is the probability of rolling a 3 and flipping a head?

probability of rolling a 3 = 1/6

probability of flipping a head = 1/2

therefore, overall = 1/12

A science class 12 boys and 15 girls What is the probability that a student chosen at random is a boy?

12/27 reduces to 4/9

numerator = the number of acceptable outcomes

denominator = total number of outcomes (12 boys + 15 girls)

What is 43 is 120 percent of what number?

The number is 35.83333

The problem would look like: 43 = 1.20x

43/1.20 = 1.20x/1.20

35.8333 = x

CHECK:

43 ?=? 1.20(35.8333) YES, it equals.

What does less probable mean?

n event A is said to be less probable than an event B if the probability of A occurring is smaller than that of B occurring.

In which discrete distributions does the probability of a success vary from one trial to the next?

In situations like this it's more common to model the systems as what are called stochastic processes, in this case probably Markov chains.

What is the probability of getting either a sum of 6 or atleast one 6 in the roll of pair of dice?

Each cube can fall in 6 different ways.

Two cubes can fall in (6 x 6) = 36 ways.

16 different successes:

1, 5

2, 4

3, 3

4, 2

5, 1

1, 6

2, 6

3, 6

4, 6

5, 6

6, 6

6, 1

6, 2

6, 3

6, 4

6, 5

Probability of success = 16/36 = 44.4%(rounded)

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