There are 3 apples and 4 pears in a basket of fruit. What is the probability of randomly selecting a pear, NOT replacing it, then selecting an apple? Show ALL work and don't forget to simplify.%C2%A0 (4 points)

Answer 1

First, let's find the probability of randomly selecting a pear:

Probability of selecting a pear = Number of pears / Total number of fruits
Probability of selecting a pear = 4 / (3 + 4) = 4 / 7

Now, if we do not replace the pear we selected, there will be only 6 fruits left in the basket (2 apples and 4 pears). So, the total number of fruits will be reduced by 1.

Now, let's find the probability of randomly selecting an apple from the reduced basket:

Probability of selecting an apple = Number of apples / Total number of fruits
Probability of selecting an apple = 2 / 6 = 1 / 3

Now, to find the overall probability of randomly selecting a pear and then an apple (without replacing the pear), we multiply the probabilities:

Probability = Probability of selecting a pear * Probability of selecting an apple
Probability = (4 / 7) * (1 / 3)
Probability = 4 / 21

Therefore, the probability of randomly selecting a pear, not replacing it, and then selecting an apple is 4/21 or approximately 0.1905 (rounded to four decimal places).

Answer 2

can you write the equation in a simpler form?

Answer 3

Of course! We can simplify the probability by multiplying the numerator:

Probability = (4/7) * (1/3) = 4 / (7 * 3) = 4 / 21

Therefore, the probability of randomly selecting a pear, not replacing it, and then selecting an apple is 4/21.

Answer 4

no, can you simplify it with words

Answer 5

Certainly! The equation simplifies to 4/21.

Answer 6

how to find the answer simple version

Answer 7

The probability of randomly selecting a pear, not replacing it, and then selecting an apple is 4/21.

Answer 8

with how to find it

Answer 9

To find the probability, you multiply the probability of selecting a pear (4/7) by the probability of selecting an apple after not replacing the pear (1/3), which equals 4/21.

Answer 10

a little longer

Answer 11

To find the probability, you first determine the probability of selecting a pear from the 4 pears and 3 apples in the basket, which is 4/7. Then, after not replacing the pear, you consider there are 2 apples and 4 pears left in the basket, giving a total of 6 fruits. The probability of selecting an apple from these 6 fruits is 2/6 or 1/3. Finally, you multiply the two probabilities together: (4/7) * (1/3) = 4/21. Therefore, the probability of randomly selecting a pear, not replacing it, and then selecting an apple is 4/21.