Welcome to Westonci.ca, where your questions are met with accurate answers from a community of experts and enthusiasts. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.
Sagot :
The probability (P) of event A occurring is:
[tex]P(A)=\frac{\text{ number of favorable outcomes to A}}{\text{ total number of outcomes}}[/tex]The probability of 2 consecutive events A and B occur is:
[tex]P=P(A)*P(B)[/tex]Then, let's calculate the probability of selecting an insect:
Favorable outcomes: 10
Total outcomes: 30
[tex]P(insect)=\frac{10}{30}=\frac{1}{3}[/tex]Now, let's calculate the probability of selecting tree:
If the insect card is replaced:
Favorable outcomes: 8
Total outcomes: 30
[tex]P(B)=\frac{8}{30}=\frac{4}{15}[/tex]If the insect card is not replaced:
Favorable outcomes: 8
Total outcomes: 29
[tex]P(B)=\frac{8}{29}[/tex]The probability of randomly selecting an insect and then a tree is:
With replacement:
[tex]\begin{gathered} P=\frac{1}{3}*\frac{4}{15} \\ P=\frac{4}{45} \end{gathered}[/tex]Without replacement:
[tex]\begin{gathered} P=\frac{1}{3}*\frac{8}{29} \\ P=\frac{8}{87} \end{gathered}[/tex]Answer:
With replacement: 4/45
Without replacement: 8/87
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.
