Answered

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Five coins are dropped onto the floor. What is the probability three of them land tails-up?

Sagot :

Probability that 3 of them land tails-up = 5/16

Total number of outcomes = 2^5 = 32

Number of ways of getting 3 tails out of 5 coins = 5C3

[tex]5C3 = \frac{5!}{(5-3)!3!} \\5C3 = \frac{5!}{2!3!} \\5C3 = \frac{5*4}{2}\\5C3 = 10[/tex]

Number of ways of getting 3 tails out of 5 coins = 10 ways

Probability that 3 of them land tails-up =

(Number of ways of getting 3 tails out of 5 coins) /Total number of outcomes

Probability that 3 of them land tails-up = 10/32 = 5/16

Learn more here: https://brainly.com/question/17040710

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