Question
Two unbiased dice are rolled. What is the probability
that the first die shows a composite number and the second die shows a prime number?Solution
Sample space for the first die = {4, 6}
Sample space for the second die = {2, 3, 5}
Required probability = 2/6 × 3/6 = 1/6
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.
