SOLUTION: cards marked with numbers 5 to 50, are placed in a box and mixed thoroughly. a card is drawn from the bx at random. find the probability that the number on the card taken out is a

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Question 847282: cards marked with numbers 5 to 50, are placed in a box and mixed thoroughly. a card is drawn from the bx at random. find the probability that the number on the card taken out is a multiple of 5 or 6.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Look at the multiples of 5 in the range: 5,10,15,20,25,30,35,40,45,50.
There are 10 of them.
Look at the multiples of 6 in the range: 6,12,18,24,30,36,42,48
There are 8 of them.
Look at any number that is both, so you don't count it twice: 30
Between 5 and 50 there are 50-5+1=46 total numbers.
P%285%29=10%2F46
P%286%29=8%2F46
P%285_and_6%29=1%2F46
P=P%285%29%2BP%286%29-P%285_and_6%29=10%2F46%2B8%2F16-1%2F46=17%2F46