# Probability using a Regular Pack of 52 Cards

## Transcript

A! Find the probability that the card is jack. So you can see I’ve got the table here. And I always want to refer to this table. If you get used to this and you think you can answer the questions without doing the table that’s great. But for most of you I do recommend you to draw this up because it really does help. So it says find the probability that the card is a jack. I know that jack is these. These four, isn’t it? So therefore it’s simply 4 out of the 52 and make sure you always simplify it 1 over 13. Okay? And that’s it! So see how it’s so easy after you draw this table.

Now B! Find the probability of the card is a ten. Now, these are the tens, isn’t it? So again!! There’s only 4 out of the 52 that makes 10. The probability simplified is 1 over 13.

Now C! We want to find the probability that the card is a jack or a 10. Now a jack or 10 is going to be this and this. So how many in there? One, two, three, four, five, six, seven, eight, so it’s simply 8 out of 52 which is simplified to 2 on 13. That’s so simple, isn’t it? Just counting up the numbers on the table.

D! Find the probability that the card is a jack and a 10. jack in a 10 is 0 because there’s no particular block that has jack and a 10. This is jack and this is a 10 but there’s no card that is jack and a 10. We could have jack and a heart for example or a 10 and a heart but we can’t have a card that is both jack and ten. So that’s why it’s probably zero. There’s no outcome. Before I move on guys, you must really be specific with these questions. You must answer what they’re asking. See how this says AND, the previous question said OR. OR and AND is a significant difference in probability. So you must understand what they are asking you to find. So make sure you distinguish what OR and AND means before you answer the question.

E! Find the probability that it is NEITHER a jack NOR a ten. NEITHER a jack NOR a 10 means we don’t want it to be a jack or a 10. So it must be anything else, okay? Excluding these two outcomes. It’s 52 minus the 8 which is 44. So 44 out of 52 is the answer for this question. Just simplify it to 11 over 13.

F! A black! Well, I told you before we started this question that black is exactly half, just this part here. So it’s simply 26 out of the 52 which is exactly half.

G! It is a picture card. Now picture card is the court cards that I’ve mentioned, the jack, queen, and king, so these three are the picture cards. Or sometimes you call it a court card. So it’s simply 12 out of the 52 which is simplified to 3 on 13.

H! Black picture card! A black! Black, we know that it’s the bottom two rows and if it’s a picture card, it’s out of these three, so it’s simply this part here, okay? This part. So it’s simply 6 out of 52 which is simplified to 3 on 26.

I! Black OR a picture card. So it could be a black OR a picture. We know that these are picture cards and these are blacks. So all of this is what we include here, okay? Could be black or a picture card, so even if it’s red it’s a picture card that’s included. So if you count them up. You should get 32, so 32 out of the 52 to simplify to 8 on 13.

And NEITHER black NOR a picture card. Cannot be a black or picture card. So it must be anything else apart from the stuff that we had in the previous question I. Can’t be black at all and it can’t be any of the picture cards. So it must be the remaining this part here. Look at the one part and blue. So if you count them up. You get 20. So it’s 20 out of 52 which is simplified to 5 on 13.

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