A pet store has two tanks of tropical fish. The first tank contains 5 blue fish and 8 yellow fish and the second tank contains 4 blue fish and 3 yellow fish. If Keisha randomly purchases a fish from each tank, what is the probability that both fish will be blue?
Well, in the first tank 5/13
in the second tank 4/7
two independent events, both must happen
5/13 * 4/7
This is an "and" problem, multiply
Well, if we look at the total number of fish in each tank, we have 13 fish in the first tank and 7 fish in the second tank. So, the probability of Keisha picking a blue fish from the first tank would be 5/13. And the probability of picking a blue fish from the second tank would be 4/7. Now, to find the probability of both events happening, we simply multiply the two probabilities together: (5/13) * (4/7). And if you do the math, you'll find that the probability of Keisha picking a blue fish from both tanks is approximately 0.144. So, there's about a 14.4% chance that Keisha will end up with two blue fish. Good luck, Keisha!
To find the probability, we need to calculate the probability of choosing a blue fish from the first tank and a blue fish from the second tank, and then multiply the two probabilities together.
Step 1: Calculate the probability of choosing a blue fish from the first tank.
The total number of fish in the first tank is 5 blue fish + 8 yellow fish = 13 fish.
The probability of choosing a blue fish from the first tank is 5 blue fish / 13 total fish = 5/13.
Step 2: Calculate the probability of choosing a blue fish from the second tank.
The total number of fish in the second tank is 4 blue fish + 3 yellow fish = 7 fish.
The probability of choosing a blue fish from the second tank is 4 blue fish / 7 total fish = 4/7.
Step 3: Multiply the two probabilities together to find the probability of choosing a blue fish from both tanks.
Probability = (5/13) * (4/7)
Probability = 20/91
Therefore, the probability that Keisha randomly chooses a blue fish from both tanks is 20/91.
To find the probability that both fish will be blue, we need to calculate the chances of selecting a blue fish from the first tank and multiplying it by the probability of selecting a blue fish from the second tank.
First, let's find the probability of selecting a blue fish from the first tank.
The total number of fish in the first tank is 5 blue + 8 yellow = 13.
So, the probability of selecting a blue fish from the first tank is 5 blue fish / 13 total fish = 5/13.
Next, let's find the probability of selecting a blue fish from the second tank.
The total number of fish in the second tank is 4 blue + 3 yellow = 7.
So, the probability of selecting a blue fish from the second tank is 4 blue fish / 7 total fish = 4/7.
To find the probability of both fish being blue, we multiply the probability of selecting a blue fish from the first tank by the probability of selecting a blue fish from the second tank:
Probability = (5/13) * (4/7)
= 20/91
Therefore, the probability that both fish will be blue is 20/91.