A fish bowl contains blue, green and red plastic fish. When a fish is picked out at random, the probability of it being blue is

Question

2 months ago

14

A fish bowl contains blue, green and red plastic fish. When a fish is picked out at random, the probability of it being blue is

0.7 and the probability of it being green is 0.2. A prize is given if a red fish is picked out. What is the probability of Matt picking a red fish? (Give your answer as a decimal.) There are 60 fish in the fish bowl. How many of the fish are red?

Mathematics

1 answer:

Zina [12.3K] · Answer 1 · 2026-02-15T19:10:40+03:00

Response:

0.1 is the chance that Matt selects a red fish.

6 of the fish are red.

Step-by-step Clarification:

The relevant probabilities are as follows:

70% = 0.7 probability of picking a blue fish.

20% = 0.2 probability of selecting a green fish.

p probability of choosing a red fish.

The total of these probabilities equals 100% = 1. Thus,

0.7 + 0.2 + p = 1.

p = 0.1

So, there's a 0.1 chance that Matt will choose a red fish.

There are 60 fish in the bowl. How many of them are red?

If n represents trials with p as the success probability, the expected value can be expressed as

$E(X) = np$

Here, we have $n = 60, p = 0.1$ . Thus,

$E(X) = np = 60*0.1 = 6$

It follows that 6 of the fish are red.