Three guests X, Y and Z arrive in that order for a dinner party.
If guests are served randomly, the probability that the three guests will be served in the sequence of their arrival is

A die is rolled 100 times with the following outcomes:

Number        1       2        3        4        5         6
Frequency   15     20      18      14      17       16

The experimental probability of obtaining a 2 is

A bag contains 4 red, 8 green and 6 blue ball of identical size.
The probability that a ball selected randomly is either red or green is

A coin and a dice are thrown together.
Find the probability of getting a head and a score greater than 4

Three boys play a game of luck in which their respective chances of winning are 1/2, 1/3 and 1/4.
What is the probability that one and only one of the boys wins the game?

A bag containing 5 red balls and 3 green balls.
Two balls are picked, one after the other, with replacement.
The probability that the two balls selected are of different colours is

A coin is tossed 3 times.
What is the probability of getting three tails?

A card is drawn from an ordinary pack of 52 playing cards.
Find the probability that it is a Queen of Hearts

The table below shows the frequency distribution of marks obtained by 40 students in a test


If a student is selected at random, find the probability that he scored not 6 marks

Two dice, one red and the other blue are rolled together.
Find the probability of getting two odd numbers

A number is selected randomly from the set of integers 1 to 20 inclusive.
What is the probability that the number is either a multiple of 3 or a multiple of 5

A coin is tossed 3 times.
What is the probability of getting 2 heads and a tail in any order?

Two dice, one red and the other blue are rolled together.
Find the probability of obtaining a total score divisible by 3

A number is selected randomly from the set of integers 1 to 20 inclusive.
What is the probability that the number is equal to or greater than 15?

A bag contains 6 red balls, 9 blue balls and 5 green balls.
Two balls are chosen one after the other with replacement.
What is the probability that both are red?

Four of the faces of a fair die are coloured black and the remaining two faces are coloured white.
On throwing the die two consecutive times,
the probability that both throws will show a black face is

Two numbers are drawn randomly from the four numbers 1, 3, 5 and 8. The probability that the sum of the two is not odd

Two dice, one red and the other blue are rolled together.
Find the probability of getting two prime numbers

A box contains yellow, blue and white counters.
The probability of picking a yellow counter is 3/8 and the probability of picking a blue counter is 35%.
If there are 40 counters in the box,
find the number that is blue

A coin and a dice are thrown together.
Find the probability of getting a head and a prime number

A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.
In how many ways can she select her courses so that she takes exactly two courses in Physics?

Cards are drawn from a pack of 52 playing cards one at a time.
Calculate the probability of drawing without replacement at least one red card

A ball is selected and replaced in a bag containing blue, green and red identical balls.
The results of 50 selections are shown below

Color of ball                  Blue        Green      Red
No. of occurrences         8              15             27

The experimental probability of picking either a blue or a red ball is

A university undergraduate has to take 5 courses from a pool of 4 Mathematics and 3 Physics courses.
In how many ways can she select her courses if she insists on taking all four Mathematics courses?

Mrs Jones is expecting a baby.
If the probability it'll be a boy is 1/2 and probability that the baby will have blues eyes is 1/4.
What is the probability that she will have a blue-eyed baby boy?