25 lottery tickets are marked with first 25 numerals. A ticket is drawn at random. Find the probability that it is a multiple of 5 and 7
Question
25 lottery tickets are marked with first 25 numerals. A ticket is drawn at random. Find the probability that it is a multiple of 5 and 7.
Solution
To solve this problem, we first need to identify the numbers between 1 and 25 that are multiples of both 5 and 7.
The multiples of 5 between 1 and 25 are: 5, 10, 15, 20, 25. The multiples of 7 between 1 and 25 are: 7, 14, 21.
However, there are no numbers that are multiples of both 5 and 7 within the range of 1 to 25.
Therefore, the probability of drawing a ticket that is a multiple of both 5 and 7 is 0.
In probability theory, an event that cannot possibly happen (like drawing a ticket that is a multiple of both 5 and 7 from a pool of tickets numbered 1 to 25) is said to have a probability of 0.
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