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The probability of one random event occurring is the same as the product of the same events occurring together?
Consider a coin toss. The probability of the coin coming up head is 1/2, the probability of the coin coming up tails is 1/2. No matter how many times you flip the coin the probability of any particular toss coming up heads or tails is always 1/2.
BUT
If you consider two coins tosses as a set then you have four possible outcomes:
first coin heads - second coin heads, first coin heads - second coin tails,
first coin tails - second coin heads, first coin tails - second coin tails
for ease of demonstration lets denote heads as H and tails as T
the above combination would then be HH,HT,TH,TT
the probability of any one of the combinations would be 1/2 for the first coin and 1/2 for the second coin so all combinations have a probability of 1/4. (1/2x1/2=1/4 I hope you realize.)
But, if we don't care which coin is H or T then the two combinations HT and TH are the same and we combined their probabilities into one 1/4+1/4=1/2
HH,(HT,TH),TT
1/4 1/2 1/4
What else can I help you with?
Is the probability of two independent events occurring together the same as the probability of each occurring alone?
No, the combined probability is the product of the probability of their separate occurrances.
The probability of two independent events occurring together is the of the probability of each event occurring separately?
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Is it true that two dependent events can have the same probability of occurring?
Yes, it is possible for two dependent events to have the same probability of occurring. The probability of an event is dependent on the outcomes of other events, and it is influenced by the relationship between these events. So, it is conceivable for two dependent events to have equal probabilities.
What is the probability of flipping no heads when you flip three identical coins?
The probability of flipping one coin and getting tails is 1/2. In order to find the probability of multiple events occurring, you find the product of all the events. For 3 coins the probability of getting tails 3 times is 1/8 because .5 x .5 x .5 = .125 or 1/8.
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.
What is the probability of two independent events occurring together?
The probability of two independent events occurring together is the product of both events. yw lazy odyssey users like me :)
Is the probability of two independent events occurring together the same as the probability of each occurring alone?
No, the combined probability is the product of the probability of their separate occurrances.
The probability of two independent events occurring together is the of the probability of each event occurring separately?
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If the probability of two events occurring together is 0 the events are called .?
Independent events with a probability of zero
Definition of the Product rule in genetics?
The product rule states that the probability of two independent events occurring together is equal to the product of their individual probabilities. In genetics, the product rule is used to calculate the probability of inheriting multiple independent traits or alleles simultaneously from different parents.
Is it true that two dependent events can have the same probability of occurring?
Yes, it is possible for two dependent events to have the same probability of occurring. The probability of an event is dependent on the outcomes of other events, and it is influenced by the relationship between these events. So, it is conceivable for two dependent events to have equal probabilities.
What is the definition of compound probability?
Two independent events occurring.
What is the formula for the product law in biology?
The product law in biology states that the probability of two independent events both occurring is equal to the product of their individual probabilities. Mathematically, it is expressed as: P(A and B) = P(A) * P(B). This law is fundamental in genetics and probability calculations in biology.
Probability of an event occurring to the probability that it won't occur?
These events are complementary. Let P(A) = probability event will occur. Then the probability it will not occur is: 1 - P(A).
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%.
What is the probability of flipping no heads when you flip three identical coins?
The probability of flipping one coin and getting tails is 1/2. In order to find the probability of multiple events occurring, you find the product of all the events. For 3 coins the probability of getting tails 3 times is 1/8 because .5 x .5 x .5 = .125 or 1/8.
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.
