Question

a bag contains 5 green marbles, 8 red marbles, 11 yellow marbles, 7 brown marbles, 12 blue marbles, you pick a marble, replace it, and pick another one, what is P(red, then blue)

Answer 1

you spin a spinner with the letters, F, G, E, O, Q, I, and you spin it twice, what is P(vowel, then Q)

Answer 2

you spin a spinner with the letters, F, G, E, O, Q, I, and you spin it twice, what is P(vowel, then Q)
A.) 1/10
B.) 1/9
C.) 2/9
D.) 1/12

Answer 3

simplify 2/49

Answer 4

The probability of picking a red marble on the first attempt is 8/43, as there are 8 red marbles out of 43 total marbles in the bag. After replacing the red marble back in the bag, the probability of picking a blue marble on the second attempt is 12/43, as there are 12 blue marbles out of 43 total marbles in the bag.

Therefore, the probability of picking a red marble and then a blue marble is:

P(red, then blue) = P(red) x P(blue | red)
P(red, then blue) = (8/43) x (12/43)
P(red, then blue) = 96/1849

Therefore, the probability of picking a red marble and then a blue marble is 96/1849 or approximately 0.052.

Answer 5

There are two vowels in the set: E and I. Therefore, the probability of getting a vowel on the first spin is 2/7.

After replacing the spinner back in the same condition, the probability of getting Q on the second spin is 1/7, as there is only one Q in the set of possible letters.

Thus, the probability of getting a vowel on the first spin and Q on the second spin is:

P(vowel, then Q) = P(vowel) x P(Q | vowel)
P(vowel, then Q) = (2/7) x (1/7)
P(vowel, then Q) = 2/49

Therefore, the probability of getting a vowel on the first spin and Q on the second spin is 2/49 or approximately 0.041.

Answer 6

The answer is not one of the choices given.

As previously calculated, the probability of getting a vowel on the first spin and Q on the second spin is:

P(vowel, then Q) = P(vowel) x P(Q | vowel)
P(vowel, then Q) = (2/7) x (1/7)
P(vowel, then Q) = 2/49

Therefore, the probability of getting a vowel on the first spin and Q on the second spin is 2/49.

Answer 7

2/49 cannot be simplified any further. Therefore, the simplified form of 2/49 is just 2/49.