Question

if 16 coins are tossed,what is the chance of that one and only one will turn up tail?​

Answer 1

Answer:

1/32

Step-by-step explanation:

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Answer 2

Given,

16 coins are tossed.

To Find,

What is the chance that one and only one will turn up tail?

Solution,

We can solve the question as follows:
It is given to us that 16 coins are tossed. Each coin has two sides: heads and tails. So, the total number of outcomes will be equal to 2 raised to power the number of coins.

Therefore,

Total outcomes = $2^{16}$ $= 65536$

Now,

A tail can appear on the coin in 16 possible ways since there are 16 coins.

There can be a tail of the first coin, second coin, third coin, and so on.

Therefore,

Favourable number of outcomes $= 16$

We know that the probability of an outcome is given as the possible number of favourable outcomes divided by the total number of outcomes.

The probability that only one tail will turn up = Favourable outcomes/Total      

                                                                              outcomes

The probability that only one tail will turn up = $\frac{16}{65536}$

                                                                          $= \frac{8}{32768}$

                                                                          $= \frac{1}{4096}$

Hence, the chance the only one tail will show up is 1/4096.