At least six heads.

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Probability

Question:

If a fair coin is tossed 10 times, find the probability of :

At least six heads.

Options:

139/512

35/47

193/512

67/195

Correct Answer:

193/512

Explanation:

P(At least six heads) = P(X>=6)

P(X>=6) = P(X=6) + P(X=7) + P(X=8) + P(X=9) + P(X=10)

= ¹⁰C₆(1/2)¹⁰ + ¹⁰C₇(1/2)¹⁰ + ¹⁰C₈(1/2)¹⁰ + ¹⁰C₉(1/2)¹⁰ + ¹⁰C₁₀(1/2)¹⁰

= 193/512