TS EAMCET · Maths · Probability
The probability that exactly 3 heads appear in six tosses of an unbiased coin, given that the first three tosses resulted in 2 or more heads is
- A \(\frac{3}{16}\)
- B \(\frac{5}{16}\)
- C \(\frac{1}{4}\)
- D \(\frac{9}{16}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{16}\)
Step-by-step Solution
Detailed explanation
Let \(E_1\) be the event of getting 2 or more heads in three toss Let \(E_2\) be the event of getting exactly 3 heads in 6 tosses Required probability \(=P\left(\frac{E_2}{E_1}\right)=\frac{P\left(E_2 \cap E_1\right)}{P\left(E_1\right)}\) Now,…
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