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A teacher asks each student to randomly choose a number from 1 to 90 and write it down.Keiko and Mitsugu Write down the number. What is the probability that both of their choices will be greater than 75?Express your answer as a decimal.If necessary round your answer to the nearest thousandth.

A. 0.028

B. 0.167

C. 0.972

D. 0.026

Respuesta :

mantalandyp499yb
90-75=15
15/90=Kieko's chance of getting higher than 75
15/90=Mitsugu's chance of getting higher than 75
15/90X15/90=.0277777777
=2.78% chance

Answer:

A. 0.028

Step-by-step explanation:

Given,

The total numbers = 90 ( from 1 to 90 ),

Also, numbers greater than 75 = 90 - 75 = 15,

Keiko and Mitsugu write down numbers randomly from these numbers,

Hence, the probability that both of their choices will be greater than 75

= The probability of a number greater than 75 × the probability of a number greater than 75

= [tex]\frac{15}{90}\times \frac{15}{90}[/tex]

= [tex]\frac{225}{8100}[/tex]

= 0.027777

≈ 0.028

Option 'A' is correct.

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