Question

6 coins are tossed in parallel what is the probability of getting at least one tail​

Answer 1

Answer:

1/12

Step-by-step explanation:

As there are 6 coins which are tossed and they can have either head of tail... So, the probability is 1/12

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Answer 2

Answer:

$\frac{63}{64}$

Step-by-step explanation:

If you think of the tosses as a sequence of 6 flips, there are

${2}^{6}$

total possibilities.

There is only 1 way to get all heads, so the probability of getting all heads is

$\frac{1}{2 {}^{6} } = \frac{1}{64}$

To get the probability of getting at least one head, this is the opposite of the probability of getting no heads - i.e. all tails.

The probability of getting all tails is

$\frac{1}{2 {}^{6} } = \frac{1}{64}$

To get the probability of getting at least one head, we subtract this from 1 to get:

$1 - \frac{1}{ {2}^{6} } = 1 - \frac{1}{64} = \frac{63}{64}$