Easy Probability Question Please

A radio station gives a weather report every 15 minutes. Each report last 45 seconds. Suppose you turn on the radio at a random time. If you turn on the radio at 50 random times, predict about how many times you will have to wait less than 1 minute before the start of the next weather report.

I'm completely lost. Can you answer this, and also explain how you got there. Thanks.

let's calculate the time every hour that we hearing or are within a minute of hearing a report.

Actual message = 4 * 45 secs = 180 secs = 3 minutes

Tine before message or within 1 minute of message within an hour = 3 minutes

Total time = 3 + 3 = 6 minutes/hour that we are hearing or within 1 minute of hearing a message

At a given moment when turning on the radio within an hour we would have 6/10 = 1/10 or 10% chance of a hearing a message or within a minutes of hearing a message. So if we attempt 50 times at random we would expect .10 * 50 = 5 times.

Im,not confident but perhaps 3.55or about 4 times since out of 845 seconds you can turn on the radio at any second so the probability you do it before 1 minute the start of next report is 60/845
And the no. of times you get it right in 50 times o
Is 60*50/845 =3.55 times

is this a math question??? It is totally beyond me~~sorry.