Aptitude Discussion

Q. |
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head? |

✖ A. |
$2^{10}$ |

✔ B. |
$2^9$ |

✖ C. |
$3 × 2^8$ |

✖ D. |
$\text{None of these}$ |

**Solution:**

Option(**B**) is correct

When a coin is tossed once, there are two outcomes. It can turn up a head or a tail.

When 10 coins are tossed simultaneously, the total number of outcomes $= 2^{10}$

Out of these, if the third coin has to turn up a head, then the number of possibilities for the third coin is only 1 as the outcome is fixed as head.

Therefore, the remaining 9 coins can turn up either a head or a tail, $ = 2^9$

**Abc**

*()
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Can u please elaborate the solution ...It's abstruse to some extent...