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.
(1 point)
The total number of fruits in the basket is 5 + 3 = 8.
The probability of selecting an apple first is 5/8.
After selecting an apple, there are now 4 apples and 3 pears left in the basket. Therefore, the probability of selecting another apple second is 4/7.
Thus, the probability of selecting both fruits as apples is (5/8) * (4/7) = 20/56 = 5/14.
Therefore, the probability that both fruits are apples is 5/14.
When flipping a coin, there are 2 equally likely outcomes - heads or tails. The probability of flipping a tail is 1/2.
When spinning the spinner, there are 6 equally likely outcomes - landing on 1, 2, 3, 4, 5, or 6. The probability of landing on 5 is 1/6.
Since the coin flip and spinner spin are happening simultaneously and are independent events (the outcome of one does not affect the other), we can multiply the probabilities:
P(tail and landing on 5) = P(tail) * P(landing on 5) = (1/2) * (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?
(1 point)
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.
(1 point)
The total number of bills in the envelope is 5 + 10 + 15 = 30.
The probability of picking a $10 bill first is 5/30 = 1/6.
After selecting a $10 bill, there are now 4 $10 bills, 10 $20 bills, and 15 $50 bills left in the envelope. The total number of bills remaining is 4 + 10 + 15 = 29.
Therefore, the probability of picking a $50 bill second is 15/29.
Thus, the probability of getting a $10 bill then a $50 bill is (1/6) * (15/29) = 15/174 = 5/58.
Therefore, the probability of getting a $10 bill then a $50 bill is 5/58.