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].
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].
