Box A contains 5 red and 3 white marbles Box b contains 2 red and 6 white marbles if a marble is drawn from each box, what is the prob that they are of same colour If 2 marbles are drawn from each box, what is the prob that all four marbles are of same colour
Answers
Given : Box A contains 5 red and 3 white marbles Box b contains 2 red and 6 white marbles
To Find : if a marble is drawn from each box, what is the prob that they are of same colour
If 2 marbles are drawn from each box, what is the prob that all four marbles are of same colour
Solution:
Box A
Red = 5
White = 3
Total = 8
Box B
Red = 2
White = 6
Total = 8
a marble is drawn from each box,
probability that they are of same colour = RR or WW
= (5/8)(2/8) + (3/8)(6/8)
= 10/64 + 18/64
= 28/64
= 7/16
two marbles are drawn from each box,
probability that all four marbles are of same colour = RRRR or WWWW
= (5/8)(4/7)(2/8)(1/7) + (3/8)(2/7)(6/8)(5/7)
= 40/(56 . 56) + 180/(56 . 56)
= 228/(56 . 56)
= 57/784
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Answer:
Step-by-step explanation: