A computer generates a two digit number random number. It

Berikut ini adalah pertanyaan dari 4urelll pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas

A computer generates a two digit number random number. It can be a number from 00 to 99. find the probability that:a) it is 99

b) not 99

c) has no 9s in it

d) has at least one 9 in it

Jawaban dan Penjelasan

Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.

Penjelasan dengan langkah-langkah:

Random Two-Digit Number Probability

a) The probability of getting a 99 is 1 out of 100 possible outcomes. Therefore, the probability of getting a 99 is 1/100 or 0.01.

b) There are 99 possible outcomes that are not 99 (from 00 to 98 and from 10 to 98). Therefore, the probability of getting a number that is not 99 is 99/100 or 0.99.

c) There are 8 numbers that contain at least one 9 (i.e. 09, 19, 29, 39, 49, 59, 69, and 79), so there are 92 numbers that do not contain a 9. Therefore, the probability of getting a number with no 9s in it is 92/100 or 0.92.

d) The probability of getting at least one 9 is the complement of the probability of getting no 9s. As we calculated in part c), the probability of getting no 9s is 0.92. Therefore, the probability of getting at least one 9 is 1 - 0.92 = 0.08.

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Last Update: Sat, 08 Jul 23