eng. khaled seif. number of playing cards in a deck = 52 black number of black playing cards in a...

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Eng. Khaled seif

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Page 1: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

Eng. Khaled seif

Page 2: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

Eng. Khaled seif

Page 3: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

Number of playing cards in a deck =

52

Number of black playing cards in a deck =

26

Chances of withdrawing a black card = from a playing card deck

𝟐𝟔𝟓𝟐

What is the chances of withdrawing a

black queen ?

Eng. Khaled seif

Probability (P)P =

Page 4: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

Number of playing cards in a deck =

52

Number of black playing cards in a deck = 26

Chances of withdrawing a black card = from a playing card deck

𝟐𝟔𝟓𝟐

What is the chances of withdrawing a black queen ?

Eng. Khaled seif

Probability (P)P =

Page 5: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

Ex 1) what is the probability of withdrawing a red king

OR a black queen from a card deck ?

𝒂¿𝟐𝟓𝟐

𝒃¿𝟒𝟓𝟐

c 𝒅¿𝟐𝟔𝟓𝟐

Eng. Khaled seif

Page 6: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

Ex 1) what is the probability of withdrawing a red king

OR a black queen from a card deck ?

𝒂¿𝟐𝟓𝟐

𝒃¿𝟒𝟓𝟐

c 𝒅¿𝟐𝟔𝟓𝟐

Eng. Khaled seif

Page 7: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

A die is rolled once randomly and the upper face is observed .

Find the probability of getting an odd number

Total number of outcomes = 6

The required odd numbers =

1 , 3 , 5

Total number of outcomes = 3

P(odd number) =𝟑𝟔

Eng. Khaled seif

, 7

Page 8: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

0 ≤ P ≤ 1

1) What is the probability of getting a number 11 in the experiment of rolling a die?

2) What is the probability of getting a number from 1 to 6 in the experiment of rolling a die?

P = zero It is called ( impossible event )

P = 1 It is called ( certain event )

Types of events

0 1𝟏𝟐

impossible certainprobable

Page 9: Eng. Khaled seif. Number of playing cards in a deck = 52 black Number of black playing cards in a deck = 26 Chances of withdrawing a black card = from

The does not happening eventIf the event A does not happen it is shortened to Ā

Example : If the probability that I will pass my driving test

is 0.7 then what is the probability that I will fail?Sol : P(pass) = 0.7

P (fail) = 1 - 0.7 = 0.3

P(Ā) = 1 - P(A)