) The numbers 1 through 10 are put in one bag. The numbers 5 through 10 are put in another bag. When you pick one number from each bag, what is the probability you get the same number? P(same number) = NOTE: Type your answer as a fraction in simplest form OR a decimal rounded to the nearest thousandth OR a percent rounded to the nearest tenth. Choose one form to type
The numbers 1, 2, 3, and 4 are in the first bag but not the second bag.
So, if you draw any of these numbers from the first bag, you can't get a match from the second bag.
The probability of never getting a match is 4/10.
However, if you draw a 5, 6, 7, 8, 9, or 10 from the first bag, you can get a match from the second bag.
The probability that you will get one of these numbers from the first bag is 6/10.
After choosing one of these six numbers, there will be a 1 in 6 chance to draw the same number from the second bag.
So, the probability of success will be: 6/10 x 1/6 = ........