AP EAMCET · Maths · Probability
An unbiased coin is tossed 8 times. The probability that head appears consecutively at least 5 times is
- A \(\frac{5}{256}\)
- B \(\frac{5}{128}\)
- C \(\frac{5}{64}\)
- D \(\frac{5}{32}\)
Answer & Solution
Correct Answer
(B) \(\frac{5}{128}\)
Step-by-step Solution
Detailed explanation
Total outcomes: \(2^8 = 256\) Favorable outcomes (at least 5 consecutive heads): HHHHHHHH (1) THHHHHHH, HHHHHHHT (2) TTHHHHHH, THHHHHHT, HHHHHHTT (3) TTTHHHHH, TTHHHHHT, THHHHHTT, HHHHHTTT (4) Total favorable outcomes: \(1+2+3+4 = 10\) Probability:…
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