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Understanding Probability: Chance of Selecting Cards and Socks

In this activity, we explore basic probability concepts using examples involving a deck of cards and a sock drawer. You will calculate the chances of picking an ace from a standard deck of 52 cards, knowing there are 4 aces. Additionally, we examine the probability of being selected from one of 9 homerooms in a school when 3 are chosen at random. Finally, determine how many socks Jack must draw from a dark drawer containing blue and gray socks to guarantee a matching pair.

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Understanding Probability: Chance of Selecting Cards and Socks

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  1. Probability Chances Are… You can do it! Activity #2

  2. There are 52 cards in a deck. So what are my chances of picking an ace?

  3. 4 How many aces are in a deck? 52 How many cards are in a deck? So I have a 4/52 or 1/13 chance of drawing an ace!

  4. There are 9 homerooms in the school and 20 students in each homeroom. If the principal selects 3 of the homerooms in no specific order, what is the probability of your room being selected? A. 1/5 B. 1/3 C. 3/20 D. 9/20

  5. There are 9 homerooms in the school and 20 students in each homeroom. If the principal selects 3 of the homerooms in no specific order, what is the probability of your room being selected? A. 1/5 B. 1/3 C. 3/20 D. 9/20

  6. Jack’s sock drawer contains 10 blue socks and 12 gray socks. The room is dark and he cannot turn on the light. What is the least number of socks he must take out of the drawer to be certain he has a pair of the same color?

  7. 3socks …because if the first two do not make a pair, then the third will have to match one of the first two! End of Activity

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