3. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball
is double that ofa red ball, determine the number of blue balls in the bag. with full solution
Answers
Step-by-step explanation:
number of red balls=5
probability of red ball is equal to X
probability of blue ball is 2x
probability of red ball =2×5 is 10
the sum of the probability is always 1
probability of blue ball + probability of red ball=1
5 + 10=15=1
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Answer:
HEY MATE HERE IS YOUR ANSWER
Step-by-step explanation:
LET THE NUMBER OF BLUE BALLS BE X
WE KNOW THAT THERE ARE 5RED BALLS
HENCE THE TOOTAL NUMBER OF BALL IN THE BAG IS=X+5
P(OF GETTING A RED BALL)=5/X+5
PROBABILITY OF GETTING A BLUE BALL IS=X/X+5
WE ARE GIVEN THAT
2[5/X+5]=X/X+5
10[X+5]=X^2+5X
x^2-5X-50=0
X^2-10X+5X-50=0
X(X-1)+5(X-10)=0
(X-10)(X-5)=0
NOW YOU CAN TELL THAT
X=10 OR X=-5
NOW NUMBER OF BALS CANT BE NEGATIVE SO NUMBER OF BLUE BALLS IS 10
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