The experiment in which all possible results are known in advance but none of them can be predicted with certainty and there is equal possibility for each result is known as a ‘Random experiment’.
For example, Tossing a coin, throwing a die, picking a card from a set of cards bearing numbers from 1 to 50, picking a card from a pack of well shuffled playing cards, etc.
Result of a random experiment is known as an ‘Outcome’.
- In a random experiment of tossing a coin - there are only two outcomes.Head (H) or Tail (T)
- In a random experiment of throwing a die, there are 6 outcomes, according to the number of dots on the six faces of the die. 1 or 2 or 3 or 4 or 5 or 6.
- In a random experiment of picking a card bearing numbers from 1 to 50, there are 50 outcomes.
- A card is drawn randomly from a pack of well shuffled playing cards. There are 52 cards in a pack as shown below.
In a pack of playing cards there are 4 sets, namely heart, diamond, club and spade. In each set there are 13 cards as King, Queen, Jack, 10, 9, 8, 7, 6, 5, 4, 3, 2 and Ace.
King, Queen and Jack are known as face cards. In each pack of cards there are 4 cards of king, 4 cards of Queen and 4 cards of Jack. Thus total face cards are 12.
There are 25 discs numbered 1 to 25. They are put in a closed box anx shaken thoroughly. A disc is drawn at random from the box.
Find the probability that the number on the disc is :
(i) an odd number
(ii) divisible by 2 and 3 both.
(iii) a number less than 16.
A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that at the card drawn is neither a red card nor a queen.
Ramesh chooses a date at random in january for a party.
Find the probability that the choose:
(1) a Wednesday
(2) a friday
(3) a tuesday or a saturday.
A single letter is selected at random from the word ‘Probability’. Find the probability that it is a vowel.
One card is randomly drawn from a pack of 52 cards. Find the probability that: the drawn card is red or king.
One card is randomly drawn from a pack of 52 cards. Find the probability that: the drawn card is an ace.
One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the card is drawn is An ace.