Question 5 of 55beginner🔧 ApplyVery Short1 mark

If P(E) = 0.05, what is the probability of ‘not E’?

Correct Answer

We know that P(E)+P(not E)=1P(E) + P(\text{not E}) = 1. Therefore, P(not E)=1−P(E)=1−0.05=0.95P(\text{not E}) = 1 - P(E) = 1 - 0.05 = 0.95.

Exercise: EXERCISE 14.1 | Q: 5 | (Page Page 13)
For More Understanding

Explanation

The provided context explicitly states the fundamental rule of complementary events: P(E)+P(not E)=1P(E) + P(\text{not E}) = 1. This implies that the probability of 'not E' (the complement of E) is calculated by subtracting the probability of E from 1. Given P(E)=0.05P(E) = 0.05, the calculation is straightforward.

Solution Steps

  1. Step 1: Identify the formula for the complement of an event from the context: P(not E)=1−P(E)P(\text{not E}) = 1 - P(E).

  2. Step 2: Substitute the given value of P(E)P(E) into the formula: P(not E)=1−0.05P(\text{not E}) = 1 - 0.05.

  3. Step 3: Perform the subtraction to find the final answer: P(not E)=0.95P(\text{not E}) = 0.95.

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