A basket of fruits contains 5 apples and 3 pears. Sharon took two fruits at random. What is the probability that both fruits are apples? Write your answer in the simplest form of fraction.
ANSWERS FOR THE CHECK ANSWERS ARE...
1. 5/14
2. 1/12
3. 0.075
4. 52%
5. 5/58
Hope this helps :)
There are a total of 8 fruits in the basket, and 5 of them are apples.
The probability of selecting an apple on the first draw is 5/8.
After the first apple is drawn, there are 4 apples and 3 pears left in the basket, so the probability of selecting another apple on the second draw is 4/7.
To find the probability of both events happening, we multiply the probabilities:
P(both are apples) = (5/8) x (4/7) = 20/56
Simplifying this fraction, we get:
P(both are apples) = 5/14
The probability of flipping a tail is 1/2, since there are two equally likely outcomes (heads or tails) and each has a probability of 1/2.
The probability of landing on 5 on the spinner is 1/6, since there are six equally likely outcomes (each labeled with a different number) and only one of them is labeled 5.
To find the probability of both events happening, we multiply the probabilities:
P(tail and 5) = (1/2) x (1/6) = 1/12
So the probability of flipping a tail and landing on 5 is 1/12.
A coin is flipped and a spinner is spun simultaneously. The spinner is divided into six equally sized sections labeled with 1, 2, 3, 4, 5, 6. What is the probability of flipping a tail and landing on 5?
A money envelope contains five $10 bills, ten $20 bills, and fifteen $50 bills. Sandra randomly selects two bills without returning the first bill. What is the probability of getting a $10 bill then a $50 bill? Write your answer in the simplest form of fraction.
To find the probability of selecting two apples from the basket, we need to determine the total number of possible outcomes and the number of favorable outcomes.
Total Number of Outcomes: Since Sharon is taking two fruits at random, there are a total of 8 fruits that she can choose from.
Number of Favorable Outcomes: The number of favorable outcomes is the number of ways to select 2 apples from the basket. There are 5 apples in the basket, so we need to calculate the number of combinations of 5 things taken 2 at a time.
The formula for combinations is nCr = n! / (r! * (n - r)!), where n is the total number of objects and r is the number of objects chosen.
Using this formula, we can calculate the number of ways to select 2 apples from 5: 5C2 = 5! / (2! * (5 - 2)!) = (5 * 4) / (2 * 1) = 10.
Therefore, there are 10 favorable outcomes.
Now we can find the probability by dividing the number of favorable outcomes by the total number of outcomes:
Probability = Favorable Outcomes / Total Outcomes = 10 / 8
Simplifying the fraction, we get:
Probability = 5 / 4
Thus, the probability that both fruits selected are apples is 5/4.
The total number of bills is 5 + 10 + 15 = 30.
If Sandra selects a $10 bill first, there will be 4 $10 bills left in the envelope, and a total of 29 bills left.
If Sandra then selects a $50 bill, there will be 15 $50 bills left in the envelope, and a total of 28 bills left.
So the probability of getting a $10 bill then a $50 bill is:
(5/30) x (15/29) = 75/870
Simplifying this fraction, we get:
P($10 then $50) = 15/174