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If an event has only two possible outcomes (will happen or it wont, like in heads/tails of a coin toss) then the probability of either even is 50%

Blaise Pascal and Pierre de Fermat discovered almost all of probability , maybe one of them said it....

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Q: Who said the probability of any event is 50-50 since either it will happen or it won't?
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What is the probability of a horse winning the triple crown 2013?

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What does equally unlikely mean in probability?

Two events are equally unlikely if the probability that they do not happen is the same for each event. And, since the probability of an event happening and not happening must add to 1, equally unlikely events are also equally likely,


How big can a probability be?

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How do you write 21 as a probability?

21 is a number. You cannot write that as a probability since it is not an event.


Describe an event that has a probability of 1 and an event that has a probability of 0?

P(a^~a)==1 P(a&~a)==0 the line above is shorthand notation for an event that has a probability of 1, followed by an event that has a probability of 0. P(event) is an easy way to say the probability of "event". The "^" means "OR", the "~" means "NOT", and the "&" as you are probably familiar means "AND". So puting it together, "P(a^~a)" means the probability that an event "a" occurs OR that event "a" does not occur. So take an event "a", any event, like drawing an 8 of clubs out of a deck of cards. If you draw a random card out of a deck of cards, the probability that you will draw an 8 of clubs OR that you will not draw an 8 of clubs is 1. That means 100%. So when you draw a card you will either draw the 8 of clubs or not draw the 8 of clubs. It seems like an obvious statement to make but its a proof that becomes very important in proving less obvious theories. likewise, the second statement was "P(a&~a)", so the probability that event "a" occurs AND event "a" doesnt occur. Since the event has to either occur or not, it cant occur AND not occur, so the probability is 0.


A binomial probability distribution with 5 as the probability of a success will have a distribution with a shape best described by?

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What is the probability of choosing a letter from the word probability?

Since the word "probability" contains only letters, then the probability of choosing a letter from the word "probability" is 1, i.e. it is certain to happen.


What is the probability 10?

Probability = 10 is a very serious mistake since the probability of any event can never be greater than 1: so a probability of 10 is obviously a big error.


What is the probability of a coin landing on either heads or tails?

Since it is a certainty that a coin must land on either heads or tails, the probability must be 1.


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Let me denote -A as the event that A does not happen. So we want Pr[-(A and B)] Now, the event that neither A nor B occurs is the opposite of either A occurring, or B occurring or both occurring. So Pr[-(A and B)] = 1 - Pr(A or B)= 1 - [Pr(A) + Pr(B) - Pr(A and B)] (since A+B is double counted)= 1 - (0.5 + 0.7 - 0.4)= 1 - 0.8= 0.2


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.