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Question

If three coins are tossed simultaneously, find the probability of getting at least two heads.


Solution

If three coins are tossed simultaneously,
the possibilities for $$2$$ heads are $$HHT,HTH,THH$$
The possibilities for $$3$$ heads are $$HHH$$
Getting atleast $$2$$ heads means that getting $$2$$  or $$3$$ heads
Number of ways for getting atleast $$2$$ heads are $$4$$
Total numbers of possibillities are $$2\times 2\times 2=8$$
Probability of getting atleast two heads is $$\dfrac{4}{8}=\dfrac{1}{2}$$

Maths

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