SOLUTION: a two digit number is formed using digits 3,4,5,6 and 7 without replacement.what is the probability that the number is a multiple of 3.

Question 550207: a two digit number is formed using digits 3,4,5,6 and 7 without replacement.what is the probability that the number is a multiple of 3.
Answer by TutorDelphia(193) (Show Source): You can put this solution on YOUR website!
There are 20 possible outcomes (you have 5 choices for the first digit and 4 for the second 5*4=20):
34 no
35 no
36 yes
37 no
43 no
45 yes
46 no
47 no
53 no
54 yes
56 no
57 yes
63 yes
64 no
65 no
67 no
73 no
74 no
75 yes
76 no
Desired outcomes are multiples of 3. The quick way to see if something is a multiple of 3 is to see if its digits add up to a multiple of 3 (its a math trick). See the yes and no's above for which ones are multiples of 3.
So the ones we want are 6 and the total is 20
so 6/20 reduces to 3/10
RELATED QUESTIONS
a two digits number is formed using digits 3,4,5,6 and 7 without replacement .what is the (answered by MathLover1)

a two digit number is formed using digits 2,3,4,5 and 6 without replacement.what is the... (answered by richard1234)

The digits 0, 2, 3, 4, 5, 7, and 9 are to be formed with a three digit (without... (answered by josmiceli,greenestamps)

The digits 0, 2, 3, 4, 5, 7, and 9 are to be formed with a three digit (without... (answered by stanbon,greenestamps)

A five digit number is formed using digits 0 1 2 3 and 4 without repetition. Find the... (answered by Alan3354,ikleyn)

2. Three-digit numbers are formed using the digits 0, 1, 2, 3, 4, 5 and 6. Note that a... (answered by KMST)

Given the digits 1, 3, 6, 9, find the probability that a four digit number formed by... (answered by stanbon)

Given the digits 1, 3, 6, 9, find the probability that a four digit number formed by... (answered by macston)

A 4-digit number is selected from the numbers {1,2,3,4,5,6} where the digits are selected (answered by Boreal,ikleyn)