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.
a 7/80
b 3/5
c 21/190
d 7/76
The total number of fruit in the basket is 5 + 8 + 7 = 20.
The probability of selecting an apple on the first pick is 7/20.
After an apple has been selected, there are 19 fruits left, including 5 bananas.
The probability of selecting a banana out of the remaining fruits is 5/19.
Therefore, the probability of selecting an apple and a banana, in that order, is:
(7/20) * (5/19) = 7/76
So the answer is option d, 7/76.
A basket of fruits contains 10 bananas, 5 mangoes, and 5 apples. A fruit is selected at random. Calculate the probability of selecting an apple or a banana. Express the answer in percent form.
The total number of fruits in the basket is 10 + 5 + 5 = 20.
The probability of selecting an apple is 5/20 = 1/4.
The probability of selecting a banana is 10/20 = 1/2.
To calculate the probability of selecting an apple or a banana, we add these probabilities:
1/4 + 1/2 = 3/4
So the probability of selecting an apple or a banana is 3/4 or 75% in percent form.
To calculate the probability of selecting an apple and a banana from the basket of fruits, we first need to determine the total number of possible combinations when randomly selecting two fruits.
There are a total of 20 fruits in the basket (5 bananas + 8 mangoes + 7 apples). When selecting the first fruit, you have 20 options. After removing one fruit from the basket, you are left with 19 fruits to choose from for the second pick.
Next, we need to determine the number of favorable outcomes, which is the number of ways to select one apple and one banana.
The number of ways to select one apple out of 7 apples is 7, and the number of ways to select one banana out of 5 bananas is 5.
Using the formula for probability:
Probability = Number of favorable outcomes / Number of possible outcomes
Probability = (Number of ways to select an apple * Number of ways to select a banana) / (Total number of fruits * Total number of fruits after one is removed)
Probability = (7 * 5) / (20 * 19)
Simplifying the expression gives:
Probability = 35 / 380
Since the options provided are not simplified, we need to simplify the fraction further:
Probability = 7 / 76
Therefore, the correct answer is d) 7/76.