An Algebra math question from Who wants to be a millionaire

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This is an algebra math question from who wants to be a millionaire rated at $32000. It requires knowledge of probability and algebra. #maths #algebra #whowantstobeamillionaire
Video Summary
AI GeneratedThis video explains how to solve a mathematical word problem from \"Who Wants to Be a Millionaire\" regarding the maximum time required to crack a four-digit combination lock if a thief can try one combination per second.
This is a $32,000 question from Who Wants to Be a Millionaire? When I saw this question, I
started sharing it with you people now this is the question—the question says, if a thief can try
If trying one combination per second, the maximum time needed to open a four-digit combination is 10,000 seconds.
Lock okay, the maximum time needed to open a four-digit combination lock—the first one says about
300 seconds. The second option says just under 170 minutes—this is a little over five hours.
and this is about half a day, okay? Now let's do this together. First of all, we have some
Let us start from the known values to look for the unknown values now these are the values that we
know first that we know this is what a four-digit combination lock means, that we are looking for
One two three four — four digits. Right now, we are told that the thief can try one combination.
per second, so he can try one combination very quickly. The thief can try one, or she can try one.
combinations per second, and we ask for the maximum time needed to open the four-digit combination lock
First of all, we need to understand that for each lock, we need the possible combination.
How many options are possible for each number? Okay, now note that the numbers can range
The numbers can range from zero to nine, right? The number could be zero, one, two, up to nine.
Okay, so that means for each lock, for each digit, each digit has 10 possible options—it could be zero.
It could be one, it could be two, three, or nine, so there are 10 possible options, 10 possible options.
10 possible options, 10 possible options. All right, and all these are independent of each other, right?
Now we can, they can independently select any number; here it could be anyone. Now looking at
This is what you need to know: the total combination of all four, that is, the total number of options you have.
need to write is for 10 times 10 times 10 times 10, which will give us what 10, since these are
the multiples of zero, just write one. um, let's count the zeros—we have four left, so that means
10,000 options, 10,000 or 10,000 combinations, hmm, that's a whole lot, that's a whole lot, this is
Really funny, but before we continue, this is the first time, um, you've seen us, okay? The first.
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doing thank you very much okay now um the main question now is how long the maximum time it will
Now take him to make these 10,000 combinations—that's a whole lot, okay? All right, um, we are told
That he could make one combination in one second, he could make one combination in one second.
so that simply means that these 10,000 combinations, the maximum time it will
Take him, for instance, in the worst-case scenario, where the last one—specifically the 10,000th attempt—is the one.
is actually the correct lock combination, right? Um, that means it's going to take him how long?
Each try or each combination takes one second; each thing, each combination, we're taking one second.
One second, so the total time it's going to take him is going to be 10,000 times one second, right?
So it's actually going to take a maximum of 10,000 seconds to achieve or obtain the right one.
a lock combination now let's go back to our option as I wish I was asked this who wants to
Okay, now let's continue. The options are about 300 seconds, and this is more than that, so this is
blah blah is gone half a day, half a day is um 12 hours, no no, 12 hours is too big, so option
A little over five hours now, let's check how many seconds make one minute.
How many seconds make one minute? Um, 60 seconds make one minute, right? So let's check: 60 seconds.
60 seconds make one minute, and 60 minutes make one hour, so now we have 10,000 seconds.
10,000 seconds. Okay, so if you want to convert this to minutes, divide by 60. So this we remove.
This six, when divided, gives us one more remainder of four; if it divides 40, we have six.
six right, yeah, if 10 is divided by six, we have one more remainder four; if it divides 40, we have
six six remainder four; if it divides 40 again, we have six six remainder four, so dots we keep
Having that something like this is continuous, it continues, okay, so we can write six is from
What I'm getting here is going to be repeating, right, in second minutes now in minutes, and if that
It's so so, my video cuts here again. I don't know if it's from the phone or God. If I had more money,
I'll start buying my gadgets, I'll start replacing them, starting from my phone, my everything, everything.
My mic and everything are okay now. Look at what we have—this is what we got. So you can notice I've already
finished shooting this video when I noticed that it cuts again, so this is what I did since we got
minutes, right? Then we can look at this and say, around half a day is 12 hours, so it's quite
Big as it can be, the answer based on what we gotASSES then about 300 seconds is very small in comparison.
To what we got, a little over five hours is more than what we have, so the correct option is just under 170.
minutes, which is the right answer because this is right under 170 minutes, okay, yeah, thank you so
Thank you so much for watching, thanks for always stopping by, and thanks for always supporting me. Have a lovely one.
