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Probability

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Q: The likelihood that an event will occur like tossing a coin?
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What is the definition of probability in math?

Probability is the likelihood that some particular event will occur. It is expressed as a number between 0 and 1, where 0 means the event will not occur, and 1 means the event will occur. Values in between 0 and 1 indicate the relative likelihood, i.e. "probability", that the event will occur. For instance, the probability of tossing heads on a fair coin toss is 0.5, the probability of rolling a 3 on a standard die is 1 in 6, or about 0.1667, and the probability of drawing an ace of spades from a standard deck of 52 cards is 1 in 52 or about 0.01923.


Can tossing a coin can be a description of a simple event?

Yes, it can.


Which is a compound event?

A compound event, in probability theory is an event which is made up of two (or more) simpler events. Thus, tossing two coins in a compound event made up of tossing one coin and tossing another coin. Getting soaked in rain consists of the simple events that it rains (where you are) and you are outdoors without an umbrella (at that time).


Can you give me an example of a compound event?

Sure! A compound event is when two or more individual events occur together. For example, rolling a die and flipping a coin at the same time would be a compound event because it involves the outcomes of both actions.


What is the sample space of tossing a coin?

The sample space of tossing a coin is H and T.


What is the probability of tossing a coin and getting a head?

The probability of tossing a coin and getting heads is 0.5


Probability is the what that something will or will not occur?

Probability is the likelihood that something will occur. If you subtract it from 1, we get the likelihood (or probability) that it will not occur. If a coin is tossed and rolls heads 6 times, the (empirical) probability of obtaining a head is 6/10 or .6. 1-.6 =.4 is the empirical probability (or likelihood) of not getting a head.


Is tossing a coin an experiment?

Yes.


What is the sample space of tossing a coin 2 times?

The sample space for tossing a coin twice is [HH, HT, TH, TT].


What is the probability of rolling a three or a six on a die then tossing a heads on a coin?

First event is to roll a 3 or 6 on a die, which gives you a probability of 2 out of 6. Second event is tossing a heads on a coin, so a probability of 1 out of 2. Since both chances are not related, you can multiply both chances: 2/6 times 1/2 = 1/6 = 0,166666...


What is the probability of tossing heads then heads and then tails when tossing a coin 3 times?

3 out of 6


Tossing a coin 9 times and getting tails what is the probability of getting tails on the next toss?

Since each event is independent, the probability remains at 0.5.