1 Answer. The range for probability of an event’s occurrence is from 0 i.e. no chance of event happening, to 1 i.e. event certain to occur. Hence, the largest value of an event’s occurrence is 1 .
What is the smallest possible value for P A and B?
A and B could be disjoint, so the minimum possible value of P(A∩B) is zero .
What is the smallest value of probability?
The maximum value of the probability of an event can be 1 and its minimum value can be 0 .
What is the lowest possible value of P A?
(d) The smallest possible value of P(A ∩ B) is 0 when A and B are mutually exclusive.
What is the maximum value of probability of an event?
Event: Every subset of a sample space is an event. It is generally denoted by E. Hence, we see from inequality $(b)$ that probability of an event lies between 0 to 1 , including 0 and 1. So, the maximum value of the probability of an event is 1.
What does a probability of 1 mean?
Probability as a number lies between 0 and 1 .
A probability of 1 means that the event will happen . If the probability of a road traffic accident was 1 there would be nothing you could do to stop it. It will happen.
What is minimum and maximum probability?
maximum probability of an event is 1. minimum probability of an event is zero . hope this helps you.
What is the largest possible value for P A ∩ B?
To find the minimum value of P(A and B), consider that any probability cannot exceed 1 , so the maximum P(A or B) is 1.
How do you find the value of PA and B?
Formula for the probability of A and B (independent events): p(A and B) = p(A) * p(B) . If the probability of one event doesn’t affect the other, you have an independent event. All you do is multiply the probability of one by the probability of another.
How do you find the minimum possible value?
If you have the equation in the form of y = ax^2 + bx + c, then you can find the minimum value using the equation min = c – b^2/4a . If you have the equation y = a(x – h)^2 + k and the a term is positive, then the minimum value will be the value of k.
What are the possible values for the probability P A?
The range of possible values for P(A) is from 0 to 1 (inclusive) , with O meaning there is no chance that event A will occur and 1 meaning it is certain that event A will occur. O C. The range of possible values for P(A) is 0 and 1 with O meaning that event A did not occur and 1 meaning that event A did occur.
What is the minimum possible value of P a B )?
So, the minimum possible value of P(A∩B) is 0.1 and this is possible if P(AB)=0.1,P(Ac∩B)=0.1,P(A∩Bc)=0.8 and P(A∪B)c=0. For the maximum value, P(AB)≤P(A)=0.4 and P(AB)≤P(B)=0.7. Taking the most restrictive of these two values gives the maximum of P(AB) as 0.4.
What is the sum of the probabilities of all simple events for an experiment?
The sum of the probabilities of all possibilities must equal 1 . Some outcome must occur on every trial, and the sum of all probabilities is 100%, or in this case, 1 .
What is the maximum probability value?
The maximum value of the probability of an event will always be 1 .
Which Cannot be the probability of an event?
In probability, the probability of an event cannot be less than 0 and greater than 1 . This is because the probability of an impossible event is 0, and the probability of a sure event is 1. where P(E) is the probability of an event.
What is an event with a probability of 0 called?
An event with a probability of zero [P(E) = 0] will never occur ( an impossible event ). An event with a probability of one [P(E) = 1] means the event must occur (a certain event).
