Eng. Khaled seif.

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Presentation transcript:

Eng. Khaled seif

Eng. Khaled seif

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

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

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

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

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

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

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) = 1 - 0.7 = 0.3 P(Ā) = 1 - P(A)