Question

Which set of events is dependent?(1 point)
the event of getting two heads when flipping two fair coins
choosing a marble from a box, replacing it, then choosing another marble
rolling a number cube and flipping a coin
choosing a ball from a bag and then choosing another ball without replacing the first

Answer 1

A basket of fruits contains 5 bananas, 8 mangoes, and 7 apples. Two fruits are randomly selected
without replacement. Calculate the probability of selecting an apple and a banana.(1 point)

Answer 2

whats that fractioned?

Answer 3

the event of getting two heads when flipping two fair coins

Answer 4

First, calculate the total number of ways to select 2 fruits from the basket:

Total number of fruits = 5 (bananas) + 8 (mangoes) + 7 (apples) = 20 fruits

Number of ways to select 2 fruits from 20 = 20C2 = (20!)/(2!(20-2)!) = 190

Next, calculate the number of ways to select 1 apple and 1 banana:

Number of ways to select 1 apple = 7C1 = 7
Number of ways to select 1 banana = 5C1 = 5

Total number of ways to select 1 apple and 1 banana = 7 * 5 = 35

Calculate the probability of selecting an apple and a banana:

Probability = Number of ways to select an apple and a banana / Total number of ways to select 2 fruits
Probability = 35 / 190
Probability ≈ 0.1842

Therefore, the probability of selecting an apple and a banana is approximately 0.1842.

Answer 5

To express the probability as a fraction, you can simplify it by dividing the numerator and denominator by their greatest common divisor, which is 5 in this case.

35/190 = (35 ÷ 5) / (190 ÷ 5) = 7/38

So, the probability of selecting an apple and a banana is 7/38.