directions: type the answer in the box below. a fish tank contains 5 goldfish, 9 guppies, and 7 bettas. two…

directions: type the answer in the box below. a fish tank contains 5 goldfish, 9 guppies, and 7 bettas. two fish are randomly caught without replacement. what is the probability of catching a guppy first and a betta second? give your answer to the nearest percentage.

directions: type the answer in the box below. a fish tank contains 5 goldfish, 9 guppies, and 7 bettas. two fish are randomly caught without replacement. what is the probability of catching a guppy first and a betta second? give your answer to the nearest percentage.

Answer

Explanation:

Step1: Calculate total number of fish

$5 + 9+7=21$

Step2: Calculate probability of catching a guppy first

The probability of catching a guppy first is $\frac{9}{21}$.

Step3: Calculate probability of catching a betta second

After catching a guppy first, there are $21 - 1=20$ fish left. The probability of catching a betta second is $\frac{7}{20}$.

Step4: Calculate combined probability

The probability of both events happening is $\frac{9}{21}\times\frac{7}{20}=\frac{9\times7}{21\times20}=\frac{63}{420} = 0.15$

Answer:

$15%$