Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Discover reliable solutions to your questions from a wide network of experts on our comprehensive Q&A platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

\begin{tabular}{|c|c|c|c|}
\hline & Boys & Girls & Total \\
\hline Can count & 42 & 58 & 100 \\
\hline Cannot count & 11 & 9 & 20 \\
\hline Total & 53 & 67 & 120 \\
\hline
\end{tabular}

a) How many boys can count?

b) What is the probability that a randomly selected pupil is a boy who can count?

Sagot :

Sure! Let's address each part of the question step by step.

### Part a)
How many boys can count?

To find the number of boys who can count, we look at the corresponding cell in the table. According to the table provided:

The number of boys who can count is 42.

### Part b)
What is the probability that any pupil is a boy and can count?

To determine this probability, we use the formula for probability:

[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \][/tex]

Here, the favorable outcome is that a pupil is a boy and can count. From the table, we know:

The number of boys who can count is [tex]\( 42 \)[/tex].
* The total number of students (possible outcomes) is [tex]\( 120 \)[/tex].

Thus, the probability is:

[tex]\[ \text{Probability} = \frac{42}{120} = 0.35 \][/tex]

So the probability that any pupil is a boy and can count is 0.35 or 35%.