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A box contains 5 white balls and 3 red balls. Two balls are withdrawn from the box randomly, one after another (without replacement). The probability that the two balls withdrawn are of different colour is
A
$$\frac{{15}}{{64}}$$
B
$$\frac{{25}}{{64}}$$
C
$$\frac{{25}}{{56}}$$
D
$$\frac{{30}}{{56}}$$
Correct Answer:
$$\frac{{30}}{{56}}$$
Directions: Seven different boxes A, B, C, D, E, F and G of different colours viz., Orange, Pink, Purple, Yellow, Blue, Red and Green are arranged one above the other. The box at the bottom of arrangement is numbered 1, the above box is numbered 2 and so on. B is immediately above E. More than two boxes are above the Orange box. The Yellow box is immediately below A. Only one box is between the Orange box and F. G is immediately above the Red box. Only one box is between B and the Pink box. Only two boxes are between the Pink and the Green box. Only two boxes are between the Yellow box and the Orange box. The Purple box is neither at the top nor at the bottom of the arrangement.B is above Pink box. C is immediately above F. Neither C nor G is a Yellow box. G is not a Orange box. Question: Which combination represents the position of C and its colour?
A
6-Green
B
6-Red
C
5-Purple
D
7-Blue
A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another, without replacement. The probability that the selected set contains one red ball and two black balls is
A
$$\frac{1}{{20}}$$
B
$$\frac{1}{{12}}$$
C
$$\frac{3}{{10}}$$
D
$$\frac{1}{2}$$
Study the following information carefully and answer the questions given below it. There are 6 persons in a family - three males and three females. Out of these, there are two married couples and two persons who are unmarried. Each one of them likes different colour, viz. Blue, Red, Pink, Green, Yellow and white. Seema, who likes Red colour, is Anitha's mother-in-law and Anitha is Raja's wife. Dinesh is Rohan's father and he does not like the blue colour or white colour. Bavya likes the yellow colour and is Rohan's sister, who likes Pink colour, Raja does not use White colour.
Which of the following is one of the married couples?
A
Rohan - Bavya \
B
Dinesh - Bavya
C
Dinesh - Seema
D
Rohan - Seema
Study the following information carefully and answer the questions given below it. There are 6 persons in a family - three males and three females. Out of these, there are two married couples and two persons who are unmarried. Each one of them likes different colour, viz. Blue, Red, Pink, Green, Yellow and white. Seema, who likes Red colour, is Anitha's mother-in-law and Anitha is Raja's wife. Dinesh is Rohan's father and he does not like the blue colour or white colour. Bavya likes the yellow colour and is Rohan's sister, who likes Pink colour, Raja does not use White colour. Which of the following colours is liked by Anitha?
A
White
B
Yellow
C
Pink
D
Green
Study the following information carefully and answer the questions given below it. There are 6 persons in a family - three males and three females. Out of these, there are two married couples and two persons who are unmarried. Each one of them likes different colour, viz. Blue, Red, Pink, Green, Yellow and white. Seema, who likes Red colour, is Anitha's mother-in-law and Anitha is Raja's wife. Dinesh is Rohan's father and he does not like the blue colour or white colour. Bavya likes the yellow colour and is Rohan's sister, who likes Pink colour, Raja does not use White colour. How is Rohan related to Seema?
A
Brother
B
Son
C
Father
D
None of these
A box contains 5 black and 5 red balls. Two balls are randomly picked one after another from the box, without replacement. The probability for both balls being red is
A
$$\frac{1}{{90}}$$
B
$$\frac{1}{2}$$
C
$$\frac{{19}}{{90}}$$
D
$$\frac{2}{9}$$
Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled our of the box at random one after another without replacement. The probability that all the three balls are red is
A
$$\frac{1}{{72}}$$
B
$$\frac{1}{{55}}$$
C
$$\frac{1}{{36}}$$
D
$$\frac{1}{{27}}$$
A box contains 4 white balls and 3 red balls. In succession, two balls are randomly selected and removed from the box. Give that the first removed ball is white, the probability that the second removed ball is red is
A
$$\frac{1}{3}$$
B
$$\frac{3}{7}$$
C
$$\frac{1}{2}$$
D
$$\frac{4}{7}$$
A box has 8 red balls and 8 green balls. Two balls are drawn randomly in succession from the box without replacement. The probability that the first ball drawn is red and the second ball drawn is green is
A
$$\frac{4}{{15}}$$
B
$$\frac{7}{{16}}$$
C
$$\frac{1}{2}$$
D
$$\frac{8}{{15}}$$
Three persons P,Q and R wore shirts of White, Black and Blue colours (not necessarily in that order) and pants of Green, Red and Whitecolours (not necessarily in that order). No persons wore shirts and pants of same colour. And further it is given that 1.A did not wear shirt of Black colour.
2.B did not wear shirt of Blue colour.
3.C did not wear shirt of White colour.
4.A did not wear pants of Green colour.
5.B wear pant of White colour. What were the colours of the pant and shirt wear by person A respectively?
A
Green and Blue
B
White and Black
C
Red and White
D
Green and White