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I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is 1/4 . What is wrong with this conclusion

Solution:

It is given that

Three coins are tossed together

Total number of outcomes = 2³ = 8

Possible outcomes are (HHH), (HTT), (THT), (TTH), (HHT), (THH), (HTH) and (TTT).

We know that

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

Probability = Favourable outcomes/ Total outcomes

So the probability of getting no head = 1/8

Therefore, the conclusion is wrong as the probability of no heads is 1/8.

✦ Try This: I toss three coins together. What is the probability of 2 heads?

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

NCERT Exemplar Class 10 Maths Exercise 13.2 Problem 10

I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is 1/4 . What is wrong with this conclusion

Summary:

In the statement “I toss three coins together. The possible outcomes are no heads, 1 head, 2 heads and 3 heads. So, I say that probability of no heads is 1/4” the conclusion is wrong as the probability of no heads is 1/8

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