if a is a probability for an event a then P not a is less than p a it is true or false
Answers
The question can be correctly represented as : If 'a' is a probability for an event, then 'P not a' is less than Pa. Is it true or false ?
" If a is the probability of an event taking place, then P not a (P ≠ a) is less than Pa." This statement is false.
• An entire event is always taken as 1.
• So, if the probability of an event taking place is a, then the probability of that event not taking place is 1 - a.
• Let us understand this with the help of an example.
Suppose, the probability (Pa) of an event taking place is 3 / 10, then the probability of that event not taking place (P ≠ a) is, 1 - 3 / 10 = 7 / 10.
• As seen in the above example, P not a (P ≠ a) is necessarily not less than Pa.
• Therefore, the statement given in the question is false.
False, statment
Step-by-step explanation:
Probability is a type of ratio where we compare how many times an outcome can occur compared to all possible outcomes.
p(a) = number of wanted events /the number of possible outcomes.
So, given statement is false.
To learn more
i)The probability of an event A occurring is 0.5 and B occurring is 0.3. If
A and B are mutually exclusive events, then find the probability of
neither A nor B occurring
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ii)The probability that at least one of the events A and B occurs is 0.6.If A and B occur simultaneously with probability 0.2.Then P(ˉA)+P(ˉB) is
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