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How do simulations help you understand the probability of events happening?
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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 do you teach probability of independent events?
Two events are said to be independent if the result of the second event is not affected by the result of the first event. Some common ways to teach this are to perform simulations with coin flips.Students need to understand that if A and B are independent events, the probability of both events occurring is the product of the probabilities of the individual events.Students can predict and then observe probabilities of a fixed number of heads or tails.This lets then see the ideas in action.
What is the probability of two events happening together when on their own the first event happens 75 and the second event happens 50?
If the two events are independent then the probability of them both happening is Pr(event1) X Pr(event2). Which in your case is 0.75x0.50=0.375 which translates into 37.5%
If two events are independent the probability that both occur is?
That probability is the product of the probabilities of the two individual events; for example, if event A has a probability of 50% and event B has a probability of 10%, the probability that both events will happen is 50% x 10% = 5%.
How often is the probability of the complement of an event less than the probability of the event itself?
It depends on the events. The answer is 0.5*(Total number of events - number of events with probability = 0.5) That is, discount all events such that their probability (and that of their complement) is exactly a half. Then half the remaining events will have probabilities that are greater than their complement's.
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 do you teach probability of independent events?
Two events are said to be independent if the result of the second event is not affected by the result of the first event. Some common ways to teach this are to perform simulations with coin flips.Students need to understand that if A and B are independent events, the probability of both events occurring is the product of the probabilities of the individual events.Students can predict and then observe probabilities of a fixed number of heads or tails.This lets then see the ideas in action.
What does equally likely mean in math term?
The two events have the same probability of happening.
What is the probability of two events happening together when on their own the first event happens 75 and the second event happens 50?
If the two events are independent then the probability of them both happening is Pr(event1) X Pr(event2). Which in your case is 0.75x0.50=0.375 which translates into 37.5%
What must you do to determine the probability of multiple independent events happening a certain way?
Divide the number of events that can happen a certain way by the number of all possible events.
What is Probability of Flipping a coin five times in a row and having it land on heads?
The probability of getting a heads on the first flip is 1/2. Similarly, the probability on each subsequent flip is 1/2, since they are independent events. The probability of several independent events happening together is the product of their individual probabilities.
Why do complementary events always have a probability of one?
If an event is absolutely certain to happen is then we say the probability of it happening is 1.Complementary events are such that one of the events musthappen. Therefore the probability of one of a set of complementary events occurring is 1.For instance : The probability that a fair coin when tossed will come down showing heads is 1/2, and that it will show tails is also 1/2.The two events are complementary so the probability that the coin toss will result in either a heads or a tails is 1.Similarly, the probability that a die when rolled will show a number 1, 2, 3, 4, 5 or 6 is 1 as all six events are complementary.
What A number cube is rolled and two coins are tossed. What is the probability that the number cube shows a value greater than 4 and both coins are heads?
These are all independent events. So the probability of them all happening is the product of the probabilities of each one of them happening. The desired probability is (2/6)*(1/2)*(1/2)=1/12
What are the odds of being both stuck by lightning and hitting a hole in one in golf?
These are independent events, so the probability of both of them happening would be the probability of one multiplied by the probability of the other. According to insurance odds, the probability of an average golfer getting a hole in one in any given round is 1/3,125. The probability of being struck by lightning is 1/576,000. Thus the probability of both of these things happening is 1/(3,125 x 576,000) = 1/1,800,000,000 or one in 1.8 billion.
If the probability of two events occurring together is 0 the events are called .?
Independent events with a probability of zero
What is events that have the same probability?
They are "events that have the same probability". Nothing more, nothing less.
If two events are independent the probability that both occur is?
That probability is the product of the probabilities of the two individual events; for example, if event A has a probability of 50% and event B has a probability of 10%, the probability that both events will happen is 50% x 10% = 5%.
