Question

Seventh graders are playing a game where they randomly select two integers 0-9, inclusive, to form a two digit number. The same integer might be selected twice.

A. List the sample space for this chance experiment. List the probability of each outcome in the same space.


B. What is the probability that the number formed is between 90 and 99, inclusive


C.what is the probability that the number formed is evenly divisible by 5?


D. What is the possibility that the number formed is a factor of 64?

Answer 1

A) Sample space= 00-99 or number between 00 to 99

B) 0.1

C) 0.2

D) 0.07

Explanation:

A) All numbers between 0 and 99 will come in sample space

B) Probability of any number= 1/10× 1/10= 1/100

P(90-99)= 10×1/100

= 1/10 or 0.1

C) total number of number divisible by 5 in the range of 0-99= 20

P(number divisible by 5)= 1/100×20 = 1/5 = 0.2

D) factors of 64: 1,2,4,8,16,32,64

P(factors of 64)= 1/100×7= 0.07