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Is it true if two events are indenpent then the probability of both events is less than 1?
Wiki User
∙ 9y ago
Not necessarily.
Wiki User
∙ 8y ago
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How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
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 is the probability that you will roll a number less than 3 and flip heads if you roll a six sided die and toss a coin?
I am assuming that this die is fair die and the coin is not biased. The probability of getting a number less than 3 is the probability of rolling a 1 or a 2 i.e. 1/6 + 1/6 = 2/6 which simplifies to 1/3. The probability of getting a head when you flip a fair coin is 1/2. Both are independent events, so the probability of getting a number less than 3 and getting a head is 1/3 x 1/2 = 1/6. One can get the same answer from a sample space diagram
When probability is less then 0 what happen?
Probability can not be less than 0 or greater than 1. A probability of 0 means there is no possibility whatsoever of an event occurring. A probability of 1 means that the event is guaranteed to occur no matter what.
Can the experimental probability of an event be a negative number.if not why?
No; because probability can never be less than zero.
What is events that have the same probability?
They are "events that have the same probability". Nothing more, nothing less.
How can you find the probability of two mutually exclusive events?
The calculation is equal to the sum of their probabilities less the probability of both events occuring. If two events are mutually exclusive then the combined probability that one or the other will occur is simply the sum of their respective probabilities, because the chance of both occurring is by definition zero.
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 is the probability of drawing a face card or a queen from a 52 card deck?
Since the probability of both events is not mutally exlcusive (you could draw both at the same time), the probability is: P(queen)+P(face)-P(both) (4/52)+(12/52)-(4/52) 12/52, which is a bit less than 0.25
What is an event with a probability greater then 0 but less than half?
There are many such events. The probability of throwing a 1 or 2 on one roll of a die, for example.
What is the probability that you will roll a number less than 3 and flip heads if you roll a six sided die and toss a coin?
I am assuming that this die is fair die and the coin is not biased. The probability of getting a number less than 3 is the probability of rolling a 1 or a 2 i.e. 1/6 + 1/6 = 2/6 which simplifies to 1/3. The probability of getting a head when you flip a fair coin is 1/2. Both are independent events, so the probability of getting a number less than 3 and getting a head is 1/3 x 1/2 = 1/6. One can get the same answer from a sample space diagram
What is the probability that both numbers on the dice are less than 4?
Any normal die contains three numbers that are less than 4 so the answer must be 1.
When probability is less then 0 what happen?
Probability can not be less than 0 or greater than 1. A probability of 0 means there is no possibility whatsoever of an event occurring. A probability of 1 means that the event is guaranteed to occur no matter what.
What is the probability of Two events that are equally likely to occur?
The probability of two events that are equally likely to occur is 0.5 or 50%, assuming there are only two possible outcomes. This means that each event has an equal chance of happening.
Can the value of probability be less than zero?
No. Probability must be between 0 and 1.
What is the probability that the number rolled will be less than 6?
The probability of rolling a number less than 6 on a die would be 5/6.
Can the experimental probability of an event be a negative number.if not why?
No; because probability can never be less than zero.
