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In hockey, Ed makes 7 goals for every 10 shots. If he takes 6 shots, what is the probability that he will make at least 5 goals?

Question

In hockey, Ed makes 7 goals for every 10 shots. If he takes 6 shots, what is the probability that he will make at least 5 goals?
In hockey, Ed makes 7 goals for every 10 shots. If he takes 6 shots, what is the probability that he will make at least 5 goals?

Answers

#0.420175#

Explanation:

#= P["5 goals on 6 shots"] + P["6 goals on 6 shot"]#
#= C(6,5) (7/10)^5 (3/10) + C(6,6) (7/10)^6#
#= (7/10)^5 (6*3/10 + 7/10)#
#= (7/10)^5 (25/10)#
#= 7^5 * 25 / 10^6#
#= 420175/1000000#
#= 0.420175#


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