If the letters of the word PARAM are arranged at random, what is the probability that all vowels will come together?

- There are 8 boys and 4 girls giving interview for a job. If three of them are selected, then what is the probability that one of the three is a girl and the other two are the boys?
- In a box there are 3 pink, 5 black, and 9 yellow flowers. One flower is picked up randomly. What is the probability that it is neither pink nor black?
- A bag contains 8 black and 10 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
- A box contains 6 red, 4 blue, 2 green and 4 yellow pens. Two pens are picked at random, what is the probability that one is blue and one is yellow?
- Two hats are picked at random, what is the probability that one is blue and one is yellow?
- A bag contains 10 black and 12 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?
- A bag contains 5 red bottles, 6 yellowbottles and 8 greenbottles . 3bottles are drawn randomly. What is the probability that thebottles drawn contain exactly two yellow bottles ?
- 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 of it, then find the probability that the ball drawn is pink.
- A box contains only three colors of balls- red, green and blue. What is the minimum number of balls that should be picked from the box to ensure that at least 5 red balls or at least 6 green balls or at least 8 blue balls are picked?
- A bag contains 25 white and some black balls. If the probability of drawing a black ball from the bag is thrice that of drawing a white ball, find the number of black balls in the bag.

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