To prepare for the tournament, the coach created a penalty-shot challenge using colored tokens. Players picked one token from a bag to decide their practice activity. The bag contained 5 blue tokens for close shots, 3 green tokens for long shots, and 4 yellow tokens for accuracy drills. Tara and Emek counted the total of 12 possible tokens and calculated the probability of each challenge. They noticed that no activity had an unfair advantage and explained the chances to the team. The fair token system helped every player practice different skills with confidence.
Challenges
Challenge 1 of 5
Challenges
Challenge 1 of 4
Hint
Probability is the number of desired tokens divided by the total number of tokens.
The token bag has 5 blue tokens, 3 green tokens, and 4 yellow tokens. What is the probability of choosing a green token?
3/125/124/1212/3Correct! There are 3 green tokens out of 12 total tokens, so the probability is 3/12.
Check that you use the number of green tokens as the favorable outcomes and 12 as the total outcomes.
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Hint
Find the probability of a blue token and multiply it by the number of picks.
If a player picks a token 60 times using the same bag, how many times would they expect to choose a blue token?
Correct! The probability of blue is 5/12, and 60*(5/12) = 25.
Use the fraction of blue tokens compared with the total number of tokens.
Next🎉 Congrats! You got this question!
Hint
Compare the number of tokens for each activity.
Tara and Emek compare the probabilities of the three activities. Which statement is correct?
Green tokens have the greatest probability because long shots are harder.Yellow tokens and blue tokens have the same probability.Blue tokens are most likely because they have the largest number of tokens.All activities have equal probability because every player can choose any activity.Correct! Blue tokens have 5 out of 12 tokens, which is the largest probability.
The probability depends on the number of tokens, not on the type of activity.
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