Question

Three coins are tossed together. The probability of getting exactly one tail, is ______.

Options

• ${\displaystyle \frac{1}{8}}$

• ${\displaystyle \frac{1}{4}}$

• ${\displaystyle \frac{7}{8}}$

• ${\displaystyle \frac{3}{8}}$

Answer 1

Three coins are tossed together. The probability of getting exactly one tail, is ${\displaystyle \underline{\frac{3}{8}}}$.

Explanation:

There are three possible outcomes where exactly one tail occurs: HHT, HTH and THH each of these outcomes has the same probability, because the coin are fair, So each outcomes has probability of

${\displaystyle \frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{8}}$

The "P" of getting are tail = ${\displaystyle 3\times \frac{1}{8}=\frac{3}{8}}$