You have 4 $ 1 dollar bills, two $5 bills, five $10 bills and five 20 dollar bills in your wallet. You select a bill at random, withought replacing the bill you chose a second bill, what is p($1 then $10)
A. 9/39
B. 5/ 64
C. 3/80
D. 1/12
2. A basket contains the following pieces of fruit 3 apples 2 oranges 2 bannas 2 pears and 5 peaches. Jack pcks a fruit at random and does not replace it. Then Bethany picks a fruit at random. What is the prbabilty that jack get a peach and Bethany gets an orange.
A. 10/27
B. 5/91
C. 5/98
D. 93/182
#. if you spin the spinner below twice what is p vowel then Q spinner letters are F G E I Q O arrow pointing to Q
A. 1/10
B. 1/9
C. 2/9 *****
D. 1/12
I need help on the first 2 and check the last 1 please thanks
#1 and 2 are both the same, just with different numbers.
For the first draw, it's #ones/#bills
for the same draw, since 1 bill has been removed, it's #tens/(#bills-1)
then just multiply the two values.
#3. correct
To solve these probability questions, we need to count the total number of outcomes and the favorable outcomes.
1. P($1 then $10)
To find the probability of selecting a $1 bill followed by a $10 bill without replacement, we need to find the total number of outcomes and the number of favorable outcomes.
Total number of bills = 4 + 2 + 5 + 5 = 16
First, we select a $1 bill. There are 4 $1 bills in the wallet, so the probability of selecting a $1 bill is 4/16.
After selecting the $1 bill, there are now 15 bills left in the wallet, including 5 $10 bills. The probability of selecting a $10 bill is 5/15.
To find the overall probability, we multiply the probabilities of each event.
P($1 then $10) = (4/16) * (5/15) = 20/240 = 1/12
Therefore, the correct answer is D. 1/12.
2. P(Jack gets a peach and Bethany gets an orange)
To find the probability that Jack gets a peach and Bethany gets an orange, we need to determine the total number of outcomes and the favorable outcomes.
Total number of fruits = 3 + 2 + 2 + 2 + 5 = 14
First, Jack selects a fruit. There are 5 peaches in the basket, so the probability of Jack selecting a peach is 5/14.
After Jack selects a peach, there are now 13 fruits left in the basket, including 2 oranges. The probability of Bethany selecting an orange is 2/13.
To find the overall probability, we multiply the probabilities of each event.
P(Jack gets a peach and Bethany gets an orange) = (5/14) * (2/13) = 10/182 = 5/91
Therefore, the correct answer is B. 5/91.
3. P(vowel and then Q)
To find the probability of spinning a vowel on the first spin and the letter Q on the second spin, we need to consider the probabilities of each event.
There are 6 possible outcomes on the first spin: F, G, E, I, Q, and O.
Out of these, 3 are vowels: E, I, and O.
Therefore, the probability of spinning a vowel on the first spin is 3/6 = 1/2.
For the second spin, there are 6 possible outcomes: F, G, E, I, Q, and O.
Out of these, only 1 is the letter Q.
Therefore, the probability of spinning the letter Q on the second spin is 1/6.
To find the overall probability, we multiply the probabilities of each event.
P(vowel and then Q) = (1/2) * (1/6) = 1/12
Therefore, the correct answer is D. 1/12.