Suppose that Kiara plays The Duck Game once. What is the probability that she draws a duck with the number 3 on the bottom? Explain the process you used to solve this question. Kiara draws a duck with a 1 on her first try and decides to play the game again. This time her friends Denny and Rayanna play the game with her. Each friend takes a turn drawing a duck from the pond. Once all three friends have drawn a duck, they turn them over to reveal their prizes. Is each friend’s draw an independent or dependent event? Explain. When the three friends play The Duck Game together, Kiara draws first, then Denny, and then Rayanna. What is the probability that Denny draws a 2, given that Kiara drew a 1? Show your work.
Kiara and her friends are playing The Duck Game at a local fair. In this game, the player selects one of 50 identical plastic ducks from a pool. The bottom of each duck is numbered 1, 2, or 3. If you draw a duck with a 1, you win a small prize, a duck with a 2 will win you a medium prize, and a duck with a 3 will win a large prize. According to the game operator, there are 25 ducks with the number 1 on the bottom, 20 ducks with the number 2, and 5 ducks with the number 3.
Use the information given to explore some of the mathematical concepts you have practiced so far by answering the questions below.
- Suppose that Kiara plays The Duck Game once. What is the
probability that she draws a duck with the number 3 on the bottom? Explain the process you used to solve this question. - Kiara draws a duck with a 1 on her first try and decides to play the game again. This time her friends Denny and Rayanna play the game with her. Each friend takes a turn drawing a duck from the pond. Once all three friends have drawn a duck, they turn them over to reveal their prizes. Is each friend’s draw an independent or dependent
event ? Explain. -
When the three friends play The Duck Game together, Kiara draws first, then Denny, and then Rayanna. What is the probability that Denny draws a 2, given that Kiara drew a 1? Show your work.
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