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Each of 5 boys randomly chooses a watch from 12 different styles. What is the probability that at least 2 boys choose the same type of watch?

choices
≈ 0.3819
≈ 0.5387
≈ 0.7387
≈ 0.6181

Answer :

MJbrown

Answer:       ≈ 0.6181

Step-by-step explanation:

${teks-lihat-gambar} MJbrown

The probability that at least 2 boys choose the same type of watch is 0.6181.

What is Probability?

Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen.

Here, the total number of combinations of styles for 5 boys

   12 X 12 X 12 X 12 X 12 = 12⁵

the total ways that each boy have different styles

   12 X 11 X 10 X 9 X 8

P(None of the boys have same style) = (12 X 11 X 10 X 9 X 8) / 12⁵

                                                                = 0.3819

P(at least 2 boys have same style) = 1 - P(None of the boys have same style)

                                                         = 1 - 0.3819

                                                         = 0.6181

Thus, the probability that at least 2 boys choose the same type of watch is 0.6181.

Learn more about Probability from:

https://brainly.com/question/14210034

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