The table below gives the probability density of trees in a particular park.

\begin{tabular}{|c|c|c|c|c|c|}
\hline Tree & Birch & Elm & Oak & Pine & Walnut \\
\hline Probability & 0.19 & 0.04 & 0.34 & 0.17 & 0.26 \\
\hline
\end{tabular}

If a tree is selected at random, what is the probability that it is an elm or pine?

[tex]\[ P = ? \][/tex]



Answer :

To determine the probability of selecting either an elm or a pine tree from the park, you need to add together the individual probabilities of selecting an elm tree and selecting a pine tree.

From the given table, the probabilities are:
- Probability of selecting an elm tree ([tex]\(P(\text{elm})\)[/tex]) = 0.04
- Probability of selecting a pine tree ([tex]\(P(\text{pine})\)[/tex]) = 0.17

To find the probability of selecting either an elm or a pine tree, add these probabilities together:

[tex]\[ P(\text{elm or pine}) = P(\text{elm}) + P(\text{pine}) \][/tex]

Substituting the given probabilities into the equation:

[tex]\[ P(\text{elm or pine}) = 0.04 + 0.17 \][/tex]

Calculate the sum:

[tex]\[ P(\text{elm or pine}) = 0.21 \][/tex]

Therefore, the probability that a tree selected at random from the park is either an elm or a pine tree is [tex]\(0.21\)[/tex].