Problem 5. (3 points) Prita buys a box of sparklers (a type of firework) that contains...

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Problem 5. (3 points) Prita buys a box of sparklers (a type of firework) that contains 21 sparklers. Unbeknownst to her, only 11 of the sparklers work properly. 5 of the sparklers do not work at all, and the rest light but do not sparkle. Suppose Prita randomly (and without replacement) chooses 7 sparklers to take to an outdoor celebration ("without replacement" means that she chooses all 7 sparklers at once). a. How many different ways could she select the 7 sparklers? Answer: b. What is the probability that exactly 3 of the selected sparklers work properly? Answer: Round to at least SIX digits after the decimal if necessary. c. What is the probability that more than 1 of the selected sparklers work properly? Answer: Round to at least SIX digits after the decimal if necessary. Problem 5. (3 points) Prita buys a box of sparklers (a type of firework) that contains 21 sparklers. Unbeknownst to her, only 11 of the sparklers work properly. 5 of the sparklers do not work at all, and the rest light but do not sparkle. Suppose Prita randomly (and without replacement) chooses 7 sparklers to take to an outdoor celebration ("without replacement" means that she chooses all 7 sparklers at once). a. How many different ways could she select the 7 sparklers? Answer: b. What is the probability that exactly 3 of the selected sparklers work properly? Answer: Round to at least SIX digits after the decimal if necessary. c. What is the probability that more than 1 of the selected sparklers work properly? Answer: Round to at least SIX digits after the decimal if necessary.