if you draw one card from a standard deck of 52 cards what...

Name: if you draw one card from a standard deck of 52 cards what is the theoretical probability that the card will be a diamond or a 7 a coin is tossed three consecutive times in a row what is th 38295
Uploaded: 2022-02-03T21:05:46-08:00
Duration: 5 min 15 s
Channel: Avi Bukys
Description: if you draw one card from a standard deck of 52 cards what is the theoretical probability that the card will be a diamond or a 7 a coin is tossed three consecutive times in a row what is th 38295

- If you draw one card from a standard deck of 52 cards. What is the theoretical probability that the card will be a diamond or a 7? - A coin is tossed three consecutive times in a row. What is the probability that the first two tosses will both land on heads? - Terry will go to the fair on Friday night. Terry plans to enter a raffle, and play * 1 point a game of bingo. If Terry has a 3% chance of winning the raffle, and a 22% chance of winning the bingo game.What is the probability that terry wins both on Friday night? - What is the probability that terry wins the raffle but looses the bingo game? - A deck of cards contains 52 cards total. 13 of which are spades. Douglas draws 3 cards from the deck into his hand without putting them back. What is the probability he drew a spade, and then two non-spade cards?

Transcript

00:01 Alright, so we've got a bunch of card shuffling problems.

00:05 So number one, what are the chances of drawing a red card? a red card would be 26 of the 52 cards in the deck, so that's one half.

00:16 What are the chances of drawing a seven? there are four sevens in the deck, so that's one 13th.

00:28 Drawing a club.

00:30 There are 13 clubs in the deck, so that's that's.

00:34 That's one fourth.

00:38 Number two, what is the probability that a card is neither a spade nor a jack? well, there are four jacks.

00:47 There are 13 spades cards.

00:53 So in total you'd think there might be 17 cards that are bad, but one of them is the jack of spades.

01:00 So we double counted the jack of spades.

01:04 So in total, there are 16 cards that are bad.

01:10 Which means the cards we're not allowed to have is 16 out of 52, so the rest of the cards we are allowed to have.

01:20 So i'm just going to reduce this a little bit.

01:23 Got 4 over 13.

01:25 So the ones that you can have are 9 out of 13.

01:30 You also could have done this by saying, what are the odds that it's not a jack? that's 12 out of 13 numbers.

01:37 What are the odds that it's not a spade? three out of four suits and multiply these together.

01:44 So this becomes three, that becomes one, and you get nine in the numerator and 13 in the nominator.

01:53 So two methods, depending on whether you like counting better or whether you like multiplication better.

01:58 All right, number three.

02:00 A person draws a first card in its club.

02:02 The cards replaced and the deck is reshuffle, then he draws a second card.

02:06 What are the chances of drawing a club or a red card on the second card? well, first of all, because you're replacing the card, into the deck, it does not matter at all what the first card is.

02:14 So just completely ignore that part of the problem.

02:18 So what are the chances of drawing a club? well, a club is one in four suits, so it's one in four.

02:24 What are the odds of drawing a red card? well, red cards are half the cards.

02:31 Did we double count to anything? no, because you can't be a club and a red card at the same time.

02:36 So that's a total of three -fourths...

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