A bag contains 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles.
Event A = drawing a green marble on the first draw
Event B = drawing a blue marble on the second draw
If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?
A. 2/19
B. 1/6
C. 4/19
D. 5/19
5/19 i believe could be wrong
I did the test and the person above me is correct. The correct answer is 5/19
Here are all the answers to the test it will get you an 80%
There are 4 yellow marbles, 6 green marbles, and 5 blue marbles in a jar. Event A is defined as drawing a green marble from the jar on the first draw. Event B is defined as drawing a yellow marble on the second draw.
If two marbles are drawn from the bag, one after the other without replacement, what is P(B|A) expressed in the simplest form?
A. 4/15
B. 2/7****
C. 1/3
D. 2/5
There are 15 tiles in a bag. Of these, 7 are purple, 5 are black and the rest are white.
Event A = drawing a white tile on the first draw
Event B = drawing a purple tile on the second draw
If two tiles are drawn from the bag one after the other and not replaced, what is P(B|A) expressed in the simplest form?
A. 1/5
B. 1/3
C. 7/15
D. 1/2*****
A cookie jar contains 3 chocolate chip cookies, 4 oatmeal raisin cookies, and 5 sugar cookies.
Event A = drawing a chocolate chip cookie on the first draw
Event B = drawing an oatmeal raisin cookie on the second draw
If two cookies are drawn from the jar, one after the other and not replaced, what is P(A and B) expressed in simplest form?
A. 1/15
B. 1/11******
C. 1/4
D. 4/11
A jar contains 5 red marbles and 8 white marbles.
Event A = drawing a white marble on the first draw
Event B = drawing a red marble on the second draw
If two marbles are drawn from the jar, one after the other without replacement, what is P(A and B) expressed in simplest form?
A. 3/3
B. 10/39*****
C. 5/12
D. 8/13
A wallet contains 3 dimes, 6 pennies, and 6 nickels. Event A is defined as drawing a dime on the first draw, and event B is defined as drawing a dime on the second draw.
If Jack draws two coins from the wallet, one after the other without replacement, what is P(B|A) expressed in simplest form?
A. 1/35
B. 1/7*****
C. 3/14
D. 7/15
A bag contains 6 black tiles, 5 white tiles, and 4 blue tiles. Event A is defined as drawing a white tile from the bag on the first draw, and event B is defined as drawing a black tile on the second draw.
If two tiles are drawn from the bag, one after the other without replacement, what is P(A and B) expressed in simplest form?
A. 4/45
B. 1/7******
C. 4/15
D. 5/14
A locker combination consists of two non-zero digits. The digits in a combination are not repeated and range from 2 through 9.
Event A = the first digit is less than 6
Event B = the second digit is less than 6
If a combination is picked at random, with each possible locker combination being equally likely, what is P(B|A) expressed in simplest form?
A. 1/4
B. 3/7*****
C. 4/9
D. 1/2
A bag contains 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles.
Event A = drawing a green marble on the first draw
Event B = drawing a blue marble on the second draw
If Jasmine draws two marbles from the bag, one after the other and doesn’t replace them, what is P(B|A) expressed in simplest form?
A. 2/19
B. 1/6
C. 4/19
D. 5/19*****
To find P(B|A) (probability of drawing a blue marble on the second draw given that a green marble was drawn on the first draw), we need to consider the remaining marbles in the bag after the first draw.
Let's calculate it step-by-step:
Step 1: Calculate the probability of drawing a green marble on the first draw (Event A).
Given that there are a total of 5 blue marbles, 8 green marbles, 4 red marbles, and 3 yellow marbles in the bag, the probability of drawing a green marble on the first draw is P(A) = 8 / (5 + 8 + 4 + 3) = 8 / 20 = 2/5.
Step 2: Calculate the number of remaining marbles of each color after the first draw.
After drawing a green marble on the first draw, there are now 7 green marbles left in the bag, along with 5 blue marbles, 4 red marbles, and 3 yellow marbles.
So, there are a total of 7 + 5 + 4 + 3 = 19 marbles left in the bag.
Step 3: Calculate the probability of drawing a blue marble on the second draw (Event B) given that a green marble was drawn on the first draw (Event A).
Given that there are now 5 blue marbles left and 19 marbles in total, the probability of drawing a blue marble on the second draw, given that a green marble was drawn on the first draw, is P(B|A) = 5 / 19.
Therefore, the answer is P(B|A) = 5/19, so the correct option is D. 5/19.
To calculate P(B|A), which represents the probability of drawing a blue marble on the second draw given that a green marble was drawn on the first draw, we need to consider the updated number of marbles in the bag after the first draw.
Event A has already occurred, so there are now 7 green marbles left in the bag. The total number of marbles remaining is 5 blue marbles + 7 green marbles + 4 red marbles + 3 yellow marbles = 19 marbles.
To calculate P(B|A), we divide the number of favorable outcomes (drawing a blue marble) by the total number of outcomes.
The number of favorable outcomes is equal to the number of blue marbles remaining in the bag, which is 5.
The total number of outcomes is equal to the total number of marbles remaining in the bag, which is 19.
Therefore, P(B|A) = Number of favorable outcomes / Total number of outcomes = 5/19.
So, the answer is D. 5/19.