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A coin is tossed 6 times. Find the probability of getting at most 4 heads
Binomial Distribution | CBSE | Class 12 | Exercise 32A | Maths | RS Aggarwal
A coin is tossed 6 times. Find the probability of getting at most 4 heads

As the coin is tossed 6 times the total number of outcomes will be 2^{6}=64
And we know that the favourable outcomes of getting at most 4 heads will be { }^{6} \mathrm{C}_{0}+{ }^{6} \mathrm{C}_{1}+{ }^{6} \mathrm{C}_{2}+{ }^{6} \mathrm{C}_{3}+{ }^{6} \mathrm{C}_{4}= 57
Thus, the probability of getting at most 4 heads will be
=\frac{\text { The favourable outcomes }}{\text { The total number of outcomes }} \Rightarrow 57 / 64

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