Question 5 of 22beginner🔧 ApplyVery Short1 mark

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

Correct Answer

The probability of 'not E' is 0.95.

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

Explanation

This question tests the understanding of complementary events. According to the NCERT textbook, for any event E, the probability of the event E and its complement 'not E' (denoted as Ē) always sum to 1. This relationship is expressed as P(E) + P(not E) = 1, which gives us P(not E) = 1 - P(E). The event 'not E' is called the complement of event E, and they are known as complementary events.

Solution Steps

  1. Step 1: We know that P(E) + P(not E) = 1 for complementary events.

  2. Step 2: Given P(E) = 0.05

  3. Step 3: Therefore, P(not E) = 1 - P(E) = 1 - 0.05 = 0.95

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