Powerball is an american lottery game that is played three...

Name: powerball is an american lottery game that is played three times a week although the probability of winning the jackpot on any play of the game is only about one and 292 million the probabil 61018
Uploaded: 2023-02-28T19:40:50-08:00
Duration: 3 min 21 s
Channel: Joanna Quigley
Description: powerball is an american lottery game that is played three times a week although the probability of winning the jackpot on any play of the game is only about one and 292 million the probabil 61018

Powerball is an American lottery game that is played three times a week although the probability of winning the jackpot on any play of the game is only about one and 292 million the probability of winning any prizes one and 24.87 if a Powerball player decides to buy one ticket for each game what is the probability that it takes at least eight games for this player to win the first prize of any kind

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Transcript

00:01 We are looking at a state lottery.

00:03 So you pick six numbers, and later in a week, the winning numbers are drawn.

00:09 If you get all six winning numbers, you get for jackpot.

00:12 Do you get four or five, you get a lesser cash prize? what's the chance of matching four numbers? okay, so we're picking six numbers, and we want the probability of matching four of them.

00:30 So the lottery system i can only assume here is you pick digits because they haven't told us how many numbers we are picking from.

00:38 So it really only makes sense if it's a what we call a pick six lottery.

00:46 So you have six slots and in each one you pick a digit from zero to nine, which gives us a total of 10 to 6 or a million possible six digit numbers you might pick.

01:07 What's the probability? but four of your six digits are correct.

01:15 So for four of them, they have to be correct.

01:19 Two of them wrong.

01:21 So i'll start with saying, okay, let's say you get this one correct.

01:25 So there's only one possibility here.

01:27 You have to pick the correct one, and this one, and this one, and this one.

01:31 And then there's nine of each of these you might pick, as long as you don't pick the correct one.

01:36 There's nine wrong ones.

01:38 So that comes out to 81...