SOLUTION: A bowl contains 18 white, 10 black, and 4 red buttons, if two buttons are drawn from the bowl, what is the probability that the first one is red and the second black if the button

Question 1192713: A bowl contains 18 white, 10 black, and 4 red buttons, if two buttons are drawn from the bowl, what is the probability that the first one is red and the second black if the buttons are drawn without replacement
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!

A = probability of selecting a red button
A = (number of red)/(number total)
A = (4)/(18+10+4)
A = 4/32
A = 1/8

B = probability of selecting a black button, given that event A has occurred (no replacement)
B = (number of black)/(number left after event A happens)
B = (10)/(32-1)
B = 10/31

A*B = probability of getting red, then black (no replacement)
A*B = (1/8)*(10/31)
A*B = (1*10)/(8*31)
A*B = 10/248
A*B = 5/124

Answer: 5/124

RELATED QUESTIONS
A bowl contains 18 white, 10 black, and 4 red buttons if two buttons are drawn randomly (answered by Boreal)

A bowl contains 18 white, 10 black and 4 red buttons, if one button is drawn at random,... (answered by ikleyn)

A jar contains nine black buttons and two brown buttons. If nine buttons are picked at... (answered by Boreal)

A jar contains five black buttons and seven brown buttons. If five buttons are picked at... (answered by ikleyn)

a jar contains seven black buttons and seven brown buttons if seven buttons are picked at (answered by Boreal)

A jar contains red and white buttons in the ratio of 3 to 2. If buttons are replaced,... (answered by rothauserc)

One bowl contains 3 white balls, 6 red balls and 4 green balls. Another bowl contains 6... (answered by Boreal)

. A bowl contains 33 red beads, 11 white beads, 9 blue beads, and 15 black beads. If... (answered by Boreal)

There are 30 buttons in a box 12 of the buttons are black The rest of the buttons are... (answered by lynnlo)