Before a friendly tournament, the coach prepared a random team selection using numbered cards. There were 20 cards in a box, with 10 marked for Team A and 10 marked for Team B. Tara and Emek examined the draw and calculated the probability of selecting a card for each team. They found that both teams had an equal chance of receiving each new player. After checking different possible outcomes, they confirmed the process was balanced. The fair draw allowed every player to join a team with the same opportunity and enjoy the tournament.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Divide the number of Team A cards by the total number of cards.
There are 20 cards in the box, with 10 cards for Team A. What is the probability of selecting a Team A card?
1/210/101/202/5Correct! There are 10 Team A cards out of 20 total cards, so the probability is 10/20, which simplifies to 1/2.
Remember that probability compares the desired outcomes with all possible outcomes.
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Hint
Multiply the probability of Team B by the total number of players.
The coach repeats the same fair draw with 60 players. If the probability of selecting Team B is 1/2, how many players would be expected to join Team B?
Correct! Half of 60 players is 30, so 30 players would be expected to join Team B.
Use the probability as a fraction of the total number of players.
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Hint
Compare the fractions representing each team's number of cards.
Tara and Emek check a different draw box with 12 Team A cards and 8 Team B cards. Which statement correctly compares the chances of selecting each team?
Team B has a greater chance because there are fewer cards to choose from.Both teams have equal chances because the total number of cards is 20.Team A has a greater chance because 12/20 is greater than 8/20.Neither team has a chance because the probabilities are different.Correct! Team A has probability 12/20 and Team B has probability 8/20, so Team A is more likely.
Compare the number of favorable cards for each team out of the same total.
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