majestyic1207

31.03.2020 • 

Mathematics

Daniel is able to land his back flip 60% of the time. He tells his friend that in his next 5 back flips, he will land more than 3 of them.

To estimate the probability of this happening, Daniel uses a computer to randomly select 5 numbers from 1 through 5. He lets 1 through 3 represent landing his backflip and 4 and 5 represent not landing it.

He repeats this for a total of 22 trials and records the results in the table below.

43113 43323 21245 53154 11545 44511 45221 14221 11123 55131 24535
35133 21454 41314 55242 52214 53542 15231 31244 54541 31415 52522
What is the best estimate, based on this simulation, of the probability that in his next 5 backflips Daniel will land more than 3 of them?

27% A

39% B

41% C

68% D

Ответ:

hiplikedyani

15.05.2021

Mathematics

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Hans has done a mistake in the second step.

The correct answer is:

5x^2+13x-6=0

5x^2+15x-2x-6x=0 - 5. -6=-30 -30=15. -2

5x(1+3x)-2x(1+3x)=0

(5x-2x)(1+3x)=0

5-2x=0 1+3x=0

x=5/2 x=-1/3

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