Question

One card is chosen at random from the cards numbered $1$ to $100$. The probability that exactly one $5$ will appear on the card

• A. $\frac{18}{100}$
• B. $\frac{19}{100}$
• C. $\frac{1}{100}$
• D. $\frac{17}{100}$

Answer 1

Answer: (A)

$\frac{18}{100}$

There are twenty $5^{\prime }s$ between $1$ to $100$. The card numbered $55$ has to be excluded because it contains two $5^{\prime }s$.
So number of cards having exactly one $5$ will be $18$.
Total number of cards =$100$
Thus, probability $=18/100$