A money envelope contains five 10$ bills ten 20$ bills and fifteen 50$ bills Sandra randomly selects two bills without returning the first bill what is the probability of getting a ten$ bill then a $50 bill write your answer in the simplest form of fraction
To find the probability of selecting a $10 bill followed by a $50 bill, we first calculate the total number of ways Sandra can select two bills:
Total number of bills = 30 (5 $10 bills + 10 $20 bills + 15 $50 bills)
Next, we calculate the number of ways Sandra can select a $10 bill followed by a $50 bill:
Number of ways to select a $10 bill = 5
Number of ways to select a $50 bill = 15
Therefore, the number of ways to select a $10 bill followed by a $50 bill = 5 * 15 = 75
So, the probability of selecting a $10 bill followed by a $50 bill is:
P($10 bill followed by $50 bill) = Number of ways to select a $10 bill followed by a $50 bill / Total number of ways to select two bills
P($10 bill followed by $50 bill) = 75 / 30 * 29
P($10 bill followed by $50 bill) = 75 / 870
P($10 bill followed by $50 bill) = 5 / 58
Therefore, the probability of getting a $10 bill followed by a $50 bill is 5/58.