4 in tossing a fair coin 16 times what is the probability of...

Name: 4 in tossing a fair coin 16 times what is the probability of getting at most 4 tails 5 draw a single card from an ordinary deck of 52 find each of the following leave your answer as a reduce 22993
Uploaded: 2024-02-27T01:20:27-08:00
Duration: 8 min 8 s
Channel: Danielle Fairburn
Description: 4 in tossing a fair coin 16 times what is the probability of getting at most 4 tails 5 draw a single card from an ordinary deck of 52 find each of the following leave your answer as a reduce 22993

4. In tossing a fair coin 16 times, what is the probability of getting at most 4 tails? 5. Draw a single card from an ordinary deck of 52. Find each of the following: (Leave your answer as a reduced fraction-no decimals) a. P(red or club) b. P(2 and 10) c. P(5 or black) 6. Use the standard normal distribution to find each of the following. Be sure to include a sketch of the curve as part of your answer. a. $P(-3.12 \le Z < -0.91)$ b. $P(Z \ge -2.58)$

Transcript

00:01 So let's do number four.

00:03 We have a standard deck of cards, and we want to find the probability that if we draw one card at random, so draw one card at random, the probability of getting a king.

00:30 Well, how many kings are there in the deck of cards? it's four, so this is four out of 52, which is one out of 13.

00:38 15, the probability of getting an ace of clubs.

00:47 Well, there's only one ace of clubs, so that then is 1 out of 52.

00:54 And for c, the probability of getting a spade.

00:59 Well, there is 13 spades, so this is 13 out of 52, which is 1 fourth.

01:07 Then for five we have a jar with 20 marbles and three are red, seven are green, ten are white and then we want the probability, let's see, we draw five marbles.

01:43 Then we want the probability that they are all green so 5 green well that is the probability that the first one is green which is 7 out of 20 times the probability that the second one is green which is 6 out of 19 times the probability that the third one is green which is 5 out of 18 times the probability that the fourth one is green well if i've taken three out already now now i have 4 left out of 17.

02:15 Then the probability that the 5th is green, well, i've taken 4 green ones out, so now there's 3 left and 16 marbles, so that is 3 out of 16.

02:28 So this then is, let's see here, 7 times 6 times 5 times 4 times 3, 3 divided by, in parentheses, 20 times 19 times 18 times 17 times 16.

02:48 And that is equal to 0 .0014.

02:57 Then for b, the probability of getting 2 red and 3 white.

03:08 That is going to be 3 out of 20 times 2 out of 19 times 10 out of 18 remaining marbles times 9 out of 17 remaining marbles times 8 out of 16 remaining marbles so that then is 3 times 2 times 10 times 9 times 8 close parenthesis and divide by the same denominator so this is 0 .0023...

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