Question
A bag contains (2x + y) red balls, 32 black balls, and
(3x – y) yellow balls. The probability of drawing a red ball is 4/13, and the probability of drawing a yellow ball is 1/13. Find the value of (x + y).Solution
According to the question,
{(2x + y)/(2x + y + 32 + 3x – y)} = 4/13
Or, 26x + 13y = 20x + 128
Or, 6x + 13y = 128…… (1)
Also,{(3x – y)/(3x – y + 32 + 2x + y)} = 1/13
Or, 39x – 13y = 5x + 32
Or, 34x – 13y = 32……. (2)
On solving equation (1) and (2), we get
x = 4 and y = 8
Therefore, (x + y) = 4 + 8 = 12
A bag has 4 red, 3 blue, and 3 green balls. Two are drawn without replacement. Find probability that both are of different colors.
If a coin is tossed 10 times then what is the probability of getting three heads?
A bag has 7 pink, 4 black and 3 yellow balls while another bag has 5 pink, 6 yellow and 3 blue balls. A bag is selected at random and a ball drawn out ...
A bag contains 3 blue, 2 green, and 5 black pens. If five pens are selected randomly, what is the probability that exactly two are green and three are b...
- A box contains ‘x’ indigo, ‘x – 4’ violet and ‘x – 8’ blue balls. If two balls are drawn at random then probability of getting a violet bal...
A bag contains 3 white balls, 6 black balls and 5 red balls. Two balls are drawn simultaneously. Find the probability that both the balls are of same c...
A box contains (x + 3) black balls, 6 yellow balls, and 5 orange balls. If two balls are selected at random and the probability of selecting two orange ...
A bag holds a total of 7 balls, consisting of 3 red balls and 4 black balls. If two balls are randomly drawn from the bag without replacement, what is t...
The names of 17 students from section A, 18 students from section B and 19 students from section C were selected. The age of all the 54 students was dif...
- Two cards are drawn without replacement from a deck of 52 playing cards. Find the probability that both cards are kings.
