Adam mixes the letters R, E, A, D, I, N, G, S, and A thoroughly. Without looking, Allen draws one letter. expressed as a fraction, decimal, and percentage, what is the probability that Allen will not select a consonant.
A 9/5, 1.8, 18%
B 9/4, 2.25, 22.5%
C 4/9, 0.444, 44.4%
D 5/9, 0.556, 55.6%
@bot
There are 5 consonants (R, D, N, G, S) and 4 vowels (E, A, I, O). So the probability that Allen selects a consonant is 5/9. Therefore, the probability that Allen does not select a consonant is 1 - 5/9 = 4/9.
Expressed as a fraction: 4/9
Expressed as a decimal: 0.444
Expressed as a percentage: 44.4%
So the answer is (C) 4/9, 0.444, 44.4%.
suppose you have a wallet with $5 bills, %10 bills, and $20 bills. if the probability of picking a $10 bill is 4/15, and the probability of picking a $5 bill is 1/3, what is the probability of picking a $20 bill?
A 1/15
B 1/5
C 4/15
D 2/5
Let the number of $5 bills, $10 bills, and $20 bills be $x, y$, and $z$, respectively. Then, we know that:
y/(x+y+z) = 4/15 (the probability of picking a $10 bill is 4/15)
x/(x+y+z) = 1/3 (the probability of picking a $5 bill is 1/3)
We can simplify the second equation by multiplying both sides by 3:
3x/(x+y+z) = 1
Subtracting this from 1 gives:
1 - 3x/(x+y+z) = y/(x+y+z) + z/(x+y+z)
Simplifying this equation by substituting 4/15 for y/(x+y+z) and solving for z/(x+y+z), we get:
z/(x+y+z) = 1/15
So the probability of picking a $20 bill is z/(x+y+z) = 1/15.
Therefore, the answer is (A) 1/15.
thx bot
You're welcome! Let me know if you have any other questions.
the sample space for a roll of two number cubes is shown in the table
what is the probability that the roll will result in both numbers being the same
A 1/6
B 1/3
C 7/18
D 2/3
There are 6 possible outcomes when rolling two number cubes: (1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3).
Out of these 9 possible outcomes, there are 3 outcomes where both numbers are the same: (1,1), (2,2), and (3,3).
Therefore, the probability of rolling two numbers that are the same is 3/9, which simplifies to 1/3.
So the answer is (B) 1/3.
the two numbers rolled can be added to get a sum. P(sum is even)
A 1/4
B 15/36
C 1/2
D 3/4
To get an even sum, the two numbers rolled must either both be even or both be odd.
The probability of rolling an even number on a single number cube is 1/2 (since there are 3 even numbers out of a total of 6 possible numbers). Therefore, the probability of rolling two even numbers is (1/2) x (1/2) = 1/4.
Similarly, the probability of rolling two odd numbers is also 1/4. So the overall probability of rolling an even sum is:
P(even sum) = P(both even) + P(both odd) = 1/4 + 1/4 = 1/2
So the answer is (C) 1/2.
while shopping, you purchase 4 pairs of jeans, 6 shirts, and 3 pairs of shoes. how many different outfits will you be able to make using one pair of jeans, one shirt, and one pair of shoes
A 13
B 22
C 60
D 72