View Answer!ReportQ10In a charity show, tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?A0.285B2/5C99/225D47/205
Question
View Answer!ReportQ10In a charity show, tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random (blindly) will have a number with a hundredth digit of 2?A0.285B2/5C99/225D47/205
Solution
To solve this problem, we first need to understand how many tickets are in the box. The tickets are numbered consecutively from 101 through 350, so there are 350 - 101 + 1 = 250 tickets in total.
Next, we need to determine how many of these tickets have a hundredth digit of 2. These would be the tickets numbered from 200 to 299. There are 299 - 200 + 1 = 100 such tickets.
The probability of selecting one of these tickets at random is therefore the number of favorable outcomes (tickets with a hundredth digit of 2) divided by the total number of outcomes (total tickets). This gives us a probability of 100/250 = 0.4 or 2/5.
So, the correct answer is B) 2/5.
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