Which of the following cannot be the empirical probability of an event...
Because probability cannot be greater than 1.And if we divide 3/2, we will get 1.5 which is greater than 1.
Which of the following cannot be the empirical probability of an event...
The empirical probability of an event is the ratio of the number of times the event occurs to the total number of trials or observations. It is based on actual data and observations rather than theoretical calculations.
To determine which of the given options cannot be the empirical probability of an event, we need to understand the requirements for a valid probability.
Empirical probabilities must satisfy the following conditions:
1. The probability of an event must be between 0 and 1, inclusive.
2. The sum of the probabilities of all possible outcomes must equal 1.
Let's analyze each option to see if it meets these conditions:
a) 3/2:
The probability of an event cannot exceed 1, so 3/2 is not a valid probability. This option is incorrect.
b) 0:
The probability of an event not occurring is represented by 0. This is a valid probability when the event never happens. This option is correct.
c) 2/3:
The probability of an event can be any value between 0 and 1, inclusive. 2/3 falls within this range, so it is a valid probability. This option is correct.
d) 1:
The probability of an event occurring is represented by 1. This is a valid probability when the event always happens. This option is correct.
In conclusion, option 'A' (3/2) cannot be the empirical probability of an event because it exceeds the maximum value of 1. The other options, 0, 2/3, and 1, can all be valid empirical probabilities depending on the context.
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