If 2/7 is the probability of an event, then the probability of the eve...
If 2/7 is probability of event A then the probability of an event not A is 1-(2/7) i.e., probability of not A is 5/7
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If 2/7 is the probability of an event, then the probability of the eve...
If 2/7 is probability of event A then the probability of an event not A is 1-(2/7) i.e.,
probability of not A is 5/7
If 2/7 is the probability of an event, then the probability of the eve...
To find the probability of an event not occurring, we subtract the probability of the event occurring from 1.
Given that the probability of an event A is 2/7, we can find the probability of event A not occurring by subtracting 2/7 from 1.
So, the probability of event A not occurring is 1 - 2/7 = 7/7 - 2/7 = 5/7.
Therefore, the correct answer is option A) 5/7.
Explanation:
Step 1: Understand the concept of probability
Probability is a measure of the likelihood that a particular event will occur. It is always a value between 0 and 1, where 0 represents impossibility and 1 represents certainty.
Step 2: Understand the concept of complementary events
Complementary events are two events that together cover all possible outcomes. If the probability of event A occurring is p, then the probability of event A not occurring is 1-p.
Step 3: Apply the concept to the given problem
In this problem, the probability of event A occurring is given as 2/7. Therefore, the probability of event A not occurring is 1 - 2/7.
Step 4: Simplify the expression
To subtract fractions, we need a common denominator. In this case, the denominator is already the same, so we can subtract the numerators directly.
1 - 2/7 = 7/7 - 2/7 = (7-2)/7 = 5/7
Therefore, the probability of event A not occurring is 5/7.
Step 5: Choose the correct option
Among the given options, option A) 5/7 matches the probability we calculated.
Therefore, the correct answer is option A) 5/7.