Q80 / 160 · AP EAMCET 2023 (15 May Shift 1) · Mathematics

If eight coins are tossed simultaneously, then the probability of getting atleast six heads is

  • A
    $\frac{37}{64}$
  • B
    $\frac{37}{512}$
  • Correct answer
    C
    $\frac{37}{256}$
  • D
    $\frac{37}{128}$

Solution

Since 8 coins are tossed simultaneously. Hence total samples $=2^8=256=n(\mathrm{~S})$ Number of ways of getting at least 6 heads $={ }^8 c_6+{ }^8 c_7+{ }^8 c_8=37=n(\mathrm{E})$ Therefore, Required probability $=\frac{n(\mathrm{E})}{n(\mathrm{~S})}=\frac{37}{256}$

Hence, the correct answer is option: 'C'.

Relevant Questions