What is the probability of throwing a number greater than 2 with a single in a fair die

A bag contains 6 red balls, 12 white balls and 9 green balls.
A ball is selected at random.
What is the probability that it is a red or green ball?

A figure is selected randomly from a group of figures consisting of a square, a triangle, a rectangle, a trapezium and a rhombus.
The probability that the figure selected is a parallelogram is

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 at least 7 marks

Two cards are drawn, one after the other, with replacement from a pack of 52 cards containing four aces and four queens.
The probability that the cards are either both aces or both queens is

Three balls are drawn one after the other, without replacement from a bag containing 4 blue, 6 white and 5 red identical balls.
The probability that all three balls are the same colour is

Of the 30 students in a class, 8 surnames begin with A or O and 18 begin with a consonant.
No surname begins with any of the letters C,Q,U, V,X,Y and Z.

The probability that the surname of a student selected at random begins with a vowel is

A container has 32 blue pens, 28 black pens and 20 red pens.
If a pen is selected at random,
what is the probability that it is not a red pen?

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

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?

Of the 30 students in a class, 8 surnames begin with A or O and 18 begin with a consonant.
No surname begins with any of the letters C,Q,U, V,X,Y and Z.

The probability that a surname selected randomly begins with E or I is

Three balls are drawn one after the other, without replacement from a bag containing 4 blue, 6 white and 5 red identical balls.
The probability that the three balls are:
one blue, one white and one red 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 so that she takes exactly two courses in Physics?

Two dice, one red and the other blue are rolled together.
How many possible outcomes altogether

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 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?

The chances of occurrence of three independent events X, Y and Z are 1/3, 1/4 and 2/5. What are the chances of occurrence of only Y and Z ?

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 at least two courses in Physics?

Henry throws a coin twice.
The coin is biased so the probability of landing a head is 2/5.
Find the probability that Henry throws a tail and a head (in any order)

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

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 yellow

A bag containing 5 red balls and 3 green balls.
Two balls are picked, one after the other, with replacement.
The probability that both are the same colour is

The table below shows the result of tossing a fair dice 200 times


Find the relative frequency of throwing a six

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 at most 4 is

In how many different ways can the letters of the word GEOLOGY  be arranged in order?