Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Probability

Question:

A and B toss a fair coin each simultaneously 50 times. The probability that both of them will not get tail at the same toss is:

Options:

$(\frac{3}{4})^{50}$

$(\frac{2}{7})^{50}$

$(\frac{1}{8})^{50}$

$(\frac{7}{8})^{50}$

Correct Answer:

$(\frac{3}{4})^{50}$

Explanation:

On each toss of A and B, possible outcomes = {HH, TH, HT, TT}

Favorable outcomes = {HH, TH, HT}

P(TT not together) = $\frac{3}{4}.\frac{3}{4}.\frac{3}{4}.......50\,times=(\frac{3}{4})^{50}$