1. Eng. Khaled seif

2. Eng. Khaled seif

3. Probability (P)
Number of playing cards in a deck = 52
Number of black playing cards in a deck = 26
P = 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒐𝒄𝒄𝒖𝒓𝒓𝒆𝒏𝒄𝒆 𝒐𝒇 𝒂𝒏 𝒆𝒗𝒆𝒏𝒕 𝒕𝒐𝒕𝒂𝒍 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔
𝟐𝟔 𝟓𝟐
Chances of withdrawing a black card = from a playing card deck
What is the chances of withdrawing a black queen ?
Eng. Khaled seif

4. Probability (P)
Number of playing cards in a deck = 52
Number of black playing cards in a deck = 26
P = 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒐𝒄𝒄𝒖𝒓𝒓𝒆𝒏𝒄𝒆 𝒐𝒇 𝒂𝒏 𝒆𝒗𝒆𝒏𝒕 𝒕𝒐𝒕𝒂𝒍 𝒏𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝒐𝒖𝒕𝒄𝒐𝒎𝒆𝒔
𝟐𝟔 𝟓𝟐
Chances of withdrawing a black card = from a playing card deck
What is the chances of withdrawing a black queen ?
Eng. Khaled seif

5. Ex 1) what is the probability of withdrawing a red king OR a black queen from a card deck ?
𝒅) 𝟐𝟔 𝟓𝟐
𝒂) 𝟐 𝟓𝟐
𝒃) 𝟒 𝟓𝟐
Eng. Khaled seif

6. Ex 1) what is the probability of withdrawing a red king OR a black queen from a card deck ?
𝒅) 𝟐𝟔 𝟓𝟐
𝒂) 𝟐 𝟓𝟐
𝒃) 𝟒 𝟓𝟐
Eng. Khaled seif

7. 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
, 7
Total number of outcomes = 3
P(odd number) =
Eng. Khaled seif

8. Types of events
1) What is the probability of getting a number 11 in the experiment of rolling a die?
P = zero
It is called ( impossible event )
2) What is the probability of getting a number from 1 to 6 in the experiment of rolling a die?
P = 1
It is called ( certain event )
0 ≤ P ≤ 1
𝟏 𝟐 1
impossible
certain
probable

9. P(Ā) = 1 - P(A) The does not happening event
If 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) = =
P(Ā) = P(A)