Question

In a shooting competition, all the shooters should hit the letter space in which letter 'A' is written as shown on the target board below. What is the probability that the shooter will hit that space?

• A. \(\frac{1}{16}\)
• B. \(\frac{1}{12}\)
• C. \(\frac{1}{8}\)
• D. \(\frac{1}{4}\)
• E. \(\frac{3}{4}\)

Answer 1

The Correct Option is A

The correct answer is option (A):

\(\frac{1}{16}\)

The target board is divided into a grid, likely a 4x4 grid, because there are four rows and four columns of letters. Each space in the grid is equally likely to be hit. The letter 'A' appears only once in the target board image. Therefore, the favorable outcome is hitting the space with the 'A'.

The total number of possible outcomes is the total number of spaces on the target board. Since there are 4 rows and 4 columns, the total number of spaces is 4 * 4 = 16.

The probability of hitting the space with 'A' is the ratio of the number of favorable outcomes (hitting the space with 'A', which is 1) to the total number of possible outcomes (16).

So, the probability is 1/16.