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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

You roll 2 dice What is the probability that the sum of the dice is odd and both dice show the number 5?

Probability zero. If both dice have the same number, then the result will be even. If both dies are odd (as in the case of 5) then the sum is even. If both dies are even, the sum is also even. The only way to get an odd sum is to have one die have an odd number and the other die have an even number. That will happen 50% of the time.

The probability of both dice showing 5 is 1/36. But the two events will never happen at the same time.

What is a space diagram in maths probability?

A space diagram is commonly used in mathematics. It is a

table which represents a range of work to mostly do with probability!

Hope it helps

A coin is tossed 2 times what are the number of possible outcomes?

There are 4 possible outcomes.

There are 2 outcomes (heads or tails) on the first toss and 2 on the second toss.

The possibilities are HH, TT, HT and TH.

What is the probability of 2 heterozygous individuals producing a heterozygous recessive offspring?

The probability is 50%.

There are four probabilities: dominant homozygous, recessive homozygous, or heterozygous.

What is the probability of an observation being above the mean?

For a continuous variable it is 0.5 but for a discrete variable the answer depends on the probability of the variable taking the mean value. It is half of the rest of the probability.

If the discrete variable X has mean m and Prob(X = m) is p

then Prob(X > m) = (1 - p)/2.

How many ways can you rearrange average?

This is how you do it, there are 7 letters in average so it would be, 7x6x5x4x3x2x1.

If A die rolled 260 times how many items will it roll 5 or 3?

Assuming a standard unbiased 6-sided die:

The probability of 5 or 3 = 2/6 = 1/3

→ The expectation when it is rolled 260 times is 260 × 1/3 = 86 2/3

→ You would expect to see a 5 or 3 about 87 times when rolling a die 260 times

What is the probability that the first two flips will both be heads and the third flip will be either heads or tails if you flip three fair coins?

I assume you mean what's the chance of at least two heads showing when three fair coins are tossed.

There are 8 possible outcomes as each coin can either be head or tails.

For 3 heads, all 3 coins must show a head → 1 success

For 2 heads, one coin will be a Tail; each coin could be a tail in turn → 3 successes

→ Pr = (1+3)/8 = 4/8 = 1/2

If you are wanting the probability that the first TWO specific coins are heads and the last, third, coin is either, then:

Pr(head) = 1/2

→ Pr(1st 2 heads, 3rd anything) = 1/2 × 1/2 × 1 = 1/4

How many ways can the letters FAIR be arranged?

The answer is 4! which is equal to 1 x 2 x 3 x 4.

If there is an 80 percent chance of rain and a 30 percent chance of wind and rain what is the probability that it is windy given that it is rainy Round your answer to the nearest percent.?

To get the answer to this question you need to work out what 30% of 80% is. To do this you need to divide 30, by 80, then multiply your answer by 100. 30/80=0.375, 0.375*100=37.5, 37.5 to the nearest percent is 38%