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Setler [38]
3 years ago
9

A card is Chosen at random from a deck of 52 cards it is replaced and a second card is chosen what is the probability both cards

will be an ace?
A) 1/169
B) 2/13
C) 1/26
D) 1/13
Mathematics
2 answers:
ankoles [38]3 years ago
6 0
There are 4 aces in a deck of 52 cards. the odds of drawing one is 1/13. the probability of doing it again is still 1/13. the odds of doing it twice, as described, is then 1/13 * 1/13, or (1/13)², or 1/169 option A
Gemiola [76]3 years ago
3 0

Answer:

option A

Step-by-step explanation:

A card is Chosen at random from a deck of 52 cards

there are 4 aces in the deck of 52 cards

Probability of picking a ace = total ace cards divide by total number of cards

P(first ace)=\frac{4}{52} =\frac{1}{13}

it is replaced and a second card is chosen

So total cards = 52 and ace =4

P(second ace)=\frac{4}{52} =\frac{1}{13}

P(both are ace)=P(first ace) \cdot P(second ace)

=\frac{1}{13}  \cdot \frac{1}{13} =\frac{1}{169}

option A

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Which stem-and-leaf plot represents the data 80, 81, 91, 92, 66, 55, 54, 30, 55, 79, 78?
const2013 [10]
Convert the given data into ascending order.
30,54,55,55,66,78,79,80,81,91,92
Here the minimum value is 30 and maximum is 92.
Total counts=11
Now plot the data.

Stem | Leaf
3       |  0
5       | 4 5 5
6       | 6
7       | 8 9 
8       | 0 1
9       | 1 2

This is the required stem leaf plot.
3 0
2 years ago
Read 2 more answers
Bad gums may mean a bad heart. Researchers discovered that 80% of people who have su ered a heart attack had periodontal disease
saul85 [17]

Answer:

0.069 = 6.9% probability that he or she will have a heart attack

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Does not have periodontal disease

Event B: Has a heart attack.

Probability of not having a periodontal disease:

100 - 80 = 20% of 10%(had a heart attack).

30% of 100-10 = 90%(did not have a heart attack). So

P(A) = 0.2*0.1 + 0.3*0.9 = 0.29

Intersection of A and B:

Not having the disease, suffering a heart attack, so 20% of 10%.

P(A cap B) = 0.2*0.1 = 0.02

What is the probability that he or she will have a heart attack?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.02}{0.29} = 0.069

0.069 = 6.9% probability that he or she will have a heart attack

6 0
3 years ago
in a game of poker, five players are each dealt 5 cards from a 52-card deck. how many ways are there to deal the cards?
Jlenok [28]

The number of ways to deal 5 cards to 5 players from a 52-card deck in a game of poker is (52!)/[(27!)*(5!)^5].

  • Permutations and combinations define nCr as ways of selecting 'r' number of items from 'n' items. 
  • nCr = (n!)/[r!(n-r)!]
  • here we want to deal 5 playing cards to each player.once we deal 5 playing cards to any participant,
  • the playing cards left inside the deck are reduced through five.
  • We deal a total of 25 playing cards, i.e., 5 playing cards to 5 gamers.
  • The number of ways to deal five playing cards to the primary participant is 52C5.The number of approaches to deal 5 playing cards to the second one participant is 47C5.
  • The wide variety of ways to deal 5 cards to the 0.33 player is 42C5.
  • The variety of methods to deal 5 cards to the fourth participant is 37C5.
  • The quantity of ways to deal 5 playing cards to the 5th player is 32C5.
  • the full quantity of methods is the general multiplication.
  • The total number of solutions = 52C5 * 47C5 * 42C5 * 37C5 * 32C5
  • When we simplify, we get (52!)/[(27!)*(5!)^5]. 

To learn more about permutation, visit :

brainly.com/question/1216161

#SPJ4

3 0
11 months ago
PLEASE HELP. WILL GIVE BRAINLIEST.
mezya [45]

Answer:

a

Step-by-step explanation:

8 0
2 years ago
Help a dude out? pls lol
Gnesinka [82]

Answer:

:)

Step-by-step explanation:

The answer is 7/11 of a mile.

Have a good day

6 0
3 years ago
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