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When we toss a coin, there are two possible outcomes - Head or Tail. Therefore, the probability of each outcome is 1/2 . Justify your answer

Solution:

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that

Probability = Favourable outcomes/ Total outcomes

The probability of each outcome is 1/2 as head and tail are equally likely events.

Therefore, the statement is true.

✦ Try This: A school has five houses A, B, C, D and E. A class has 50 students, 5 from house A, 10 from house B, 15 from house C, 6 from house D and rest from house E. A single student is selected at random to be the class monitor. The probability that the selected student is not from A, B and C is

We know that

Total number of students n(S) = 50

Number of students in houses A, B and C = 5 + 10 + 15 = 30

Here the remaining students = 50 - 30 = 20

n(E) = 20

Probability that the selected student is not from A, B and C is

P(E) = Favourable outcomes/ Total outcomes

Substituting the values

= 20/50

= 2/5

Therefore, the probability that the selected student is not from A, B and C is 2/5.

☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 14

NCERT Exemplar Class 10 Maths Exercise 13.2 Problem 8

When we toss a coin, there are two possible outcomes - Head or Tail. Therefore, the probability of each outcome is 1/2 . Justify your answer

Summary:

The statement “When we toss a coin, there are two possible outcomes - Head or Tail. Therefore, the probability of each outcome is 1/2” is true

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