Question

Mario has a fish tank with 70 goldfish in it. One of the goldfish has unique pelvic fins, which are located on the bottom of the fish. He wants to show his friend the pelvic fins. What is the probability that Mario will randomly catch the right goldfish on the first 5 attempts?
0.034
0.049
0.069
0.091

Answer 1

Answer:

The probability that Mario will randomly catch the right goldfish on the first 5 attempts = 0.069

Step-by-step explanation:

From geometric distribution.

If the probability of success on each trial = P,

then the probability that the Nth trial is the first success

                    Pr (X = N) = $(1 - P)^{N - 1}$ P

Now,

        P = $\frac{1}{70}$

        Maximum attempt = 5

Probability that Mario will randomly catch the right goldfish on the first 5 attempts

= $\frac{1}{70}$ + $(1 - \frac{1}{70} )^{1}$ $\frac{1}{70}$ + $(1 - \frac{1}{70} )^{2}$ $\frac{1}{70}$ + $(1 - \frac{1}{70} )^{3}$ $\frac{1}{70}$ + $(1 - \frac{1}{70} )^{4}$ $\frac{1}{70}$

= $\frac{1}{70}$ + $\frac{69}{70}$ $\frac{1}{70}$ + $(\frac{69}{70} )^{2}$ $\frac{1}{70}$ + $(\frac{69}{70} )^{3}$ $\frac{1}{70}$ + $(\frac{69}{70} )^{4}$ $\frac{1}{70}$

= 0.069

Answer 2

Answer: 1. A) 0.14

2. C) 46%

3. D) 86%

4. B) 0.513

5. A) 0.003

6. C) 0.069

7. C) 0.25%

8. D) 0.03

9. C) 71%

10. A) 10%

Step-by-step explanation: 100% :)