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Understanding Probability: Calculating Chances with Cards and Dice

This lesson explores fundamental concepts of probability using playing cards and dice. Discover the total number of cards in a standard deck and the number of black cards, as well as the specific probabilities of drawing a black card or a black queen. You'll also learn how to determine the chances of rolling an odd number on a die and understand different types of events in probability, such as impossible and certain events. Master basic probability concepts with practical examples to enhance your understanding.

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Understanding Probability: Calculating Chances with Cards and Dice

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  1. Eng. Khaledseif

  2. Eng. Khaledseif

  3. Probability (P) Number of playing cards in a deck = 52 Number of blackplaying cards in a deck = 26 P = Chances of withdrawing a black card = from a playing card deck What is the chances of withdrawing ablackqueen ? Eng. Khaledseif

  4. Probability (P) Number of playing cards in a deck = 52 26 Number of blackplaying cards in a deck = P = Chances of withdrawing a black card = from a playing card deck What is the chances of withdrawing a black queen ? Eng. Khaledseif

  5. Ex 1) what is the probability of withdrawing ared king OR a black queen from a card deck ? c Eng. Khaledseif

  6. Ex 1) what is the probability of withdrawing aredking OR a black queen from a card deck ? c Eng. Khaledseif

  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 1 , 3 , 5 The required odd numbers = , 7 3 • Total number of outcomes = P(odd number) = • Eng. Khaledseif

  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? It is called ( certain event ) P = 1 0 ≤ P ≤ 1 1 0 certain impossible probable

  9. 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)

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