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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 does ageing population mean to the older person?

It means several things - some good, some bad:

  • they have a higher age-specific life expectancy. That is, compared to the past, someone of their age now is expected to continue living for longer.
  • they will have a longer post-retirement period when - if they can afford it and physically manage - they can enjoy the fruits of a "lifetime" of work.
  • they are more likely to suffer from diseases that take a long time to manifest. Cancer, dementia, Alzheimer's, are some examples.
  • their health-care will become increasingly more expensive.

When dealing with the occurrence of more than one event what multiplication process can be used to easily determine all possible combinations without listing the entire sample space?

A computer is programmed to generate a sequence of three digits, where each digit is either 0 or 1, and each of these is equally likely to occur. Construct a sample space that shows all possible three-digit sequences of 0s and 1s and then find the probability that a sequence will contain exactly one 0.

Can you make a decision without two options?

You did not have to have exactly two options, but you have nothing to decide if there are not at least two options. However, there are almost always at least two options, although sometimes one of the options is unacceptable. If neither option is reasonable, find a third way.

Two cards are drawn from a pack of 52 cards at random. Then one card is drawn from the remaining 50 cards. What is the probability that it is an ace?

There are 4 possible outcomes yielding an Ace on the third draw without replacement:

a) Ace and Ace (first two cards) then Ace (third card) = 4/52 x 3/51 x 2/50 (24/132600) or

b) Non-ace and Ace then Ace = 48/52 x 4/51 x 3/50 (576/132600) or

c) Ace and Non-ace then Ace = 4/52 x 48/51 x 3/50 (576/132600) or

d) Non-ace and Non-ace then Ace = 48/52 x 47/51 x 4/50 (9024/132600)

Then it's just a+b+c+d

(24+576+576+9024) / 132600

=10200/132600

=0.0769 (about 7.7%)

or more simply 4/52 if you're in a hurry because the oolongteasup

WHAT IS SAMPLE SPACE WHEN A COIN IS TOSSED ONCE?

The sample space, with a fair coin, is {Heads, Tails}.

I am assuming that the probability that the coin ends up resting on its edge is so small that it can be ignored as a possible outcome.

How can i use help option of tally?

In any screen you can find the help button in the right hand side of the screen.

Just click that.

A new window appears in that you can search using the keywords or find the required items in contents

Does a symmetrical distribution have a variation?

Yes. The distribution can be compact (centred tightly around the mean) or spread out. It can have a peak in the centre or two peaks at each end, or other variations.

What is the probability of rolling the following number situations with a single die a number less than 6?

Number of possible ways for one cube to fall = 6 .

Number of those possibilities that show a nmumbver less than 6 = 5 . (1, 2, 3, 4, and 5)

Probability of rolling a number less than 6 = 5/6 = 831/3 %

Jack tosses a coin thirty times how many times would you expect the coin to land tails side up?

About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.

About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.

About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.

About 15 times - half of 30. This will not necessarily be the exact value; just the long-term average if you do the experiment many, many times.

How many ways can 7 different books be stacked on a shlef?

The number of ways 7 different books can be stacked on a shelf is the same as the number of permutations of 7 things taken 7 at a time, which is 7 factorial, or 5040.

How can you be sure of getting a 50 out of 50 ratio from flipping a coin?

You cannot because it is a random event. The whole point of it being a random event is that you can never be sure. The probability should get closer and closer to 50% as you increase the number of trials but there is no way to ensure certainty.

What are people with two heads called?

People with two heads are often referred to as "conjoined twins" or "dicephalic twins" when each twin has a separate head but shares a single body. This rare condition occurs due to incomplete splitting of a fertilized egg during early development. The medical term for this specific type of conjoined twin is "dicephalic parapagus." Such individuals may have varying degrees of shared organs and limbs, depending on their specific anatomy.

Whats the difference between random errors and systematic errors?

Random errors - Random errors can be evaluated through statistical analysis and can be reduced by averaging over a large number of observations. Systematic errors - Systematic errors are difficult to detect and cannot be analyzed statistically, because all of the data is off in the same direction (either to high or too low). Spotting and correcting for systematic error takes a lot of care.

How many ways can you arrange the numbers 1468?

There are 4 digits. You can pick one of them as the first digit. So you can pick the first number 4 ways. Having picked the first number, the second number you can pick in only 3 ways. Having picked the first number and the second number you can pick the third number in only 2 ways. Having picked the first number and the second number and the third number you can pick the fourth number in only 1 way.

So total ways of arranging 1468 would be 4 x 3 x 2 x 1 = 24