Probability

Probability

Definition- When the possibility of an event occurring is expressed numerically, it is called probability.

Probability of event E P(E) = Number of outcomes favorable to event E Number of total outcomes of the experiment

Probability of an impossible event = 0

Probability of a certain or possible event = 1

Probability of the event not occurring P( Ē ) = 1 - P( E )

i.e. P ( Ē ) + P( E ) = 1

The sum of all possible events of probability is 1

Dice questions

Total outcomes of throwing a dice (1,2,3,4,5,6)

Even numbers- Total 3 (2,4,6,)-

Odd numbers- Total 3 (1,3,5)

Prime number 3 (2,3,5)-

Composite number 2 (4,6)

Tossing a dice 2 times Total 36 outcomes

Tossing a coin

Tossing a coin 2 outcomes (H, T)

Tossing a coin twice or two coins together

4 outcomes (HH, HT, TH, TT )

Tossing 3 coins

8 outcomes (HHH HHT HTH HTT THH THT ΤΤΗ TTT )

Card Game

There are total 52 cards in a card

(26 black + 26 red)

13 spades (black), 13 clubs (black hearts) ),

13 bricks (red),13 hearts (red hearts)

There are total 4 queens, 4 aces, 4 kings and 4 jacks in the cards.

Pictured cards i.e. (king, queen, rose)

There are total 12 cards (4 + 4 + 4 = 12)

A leap year or a normal year has 365 days

52 weeks + 1 day

(52 × 7 = 364 days + 1 day = 365 days)

A leap year has 366 days (because February has 29 days)

52 weeks + 2 days