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Stolb23 [73]
3 years ago
13

OnOff

Mathematics
1 answer:
Sindrei [870]3 years ago
4 0

Answer:

2?

Step-by-step explanation:

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A deck of cards with four suits; hearts, diamonds, spades, and clubs. you pick one card, put it back and thennpick another card.
Llana [10]

1. First, let us find the probability that the first card is a diamond.

Now, since we are given that there are four suits and there are, assumably, an equal number of cards in each suit, we can say that the probability of choosing a diamond card is 1/4. We can also write this out as such, where D = Diamond:

Pr(D) = no. of diamond cards / total number of cards

There are 52 cards in a deck, and 13 cards of each suit, thus:

Pr(D) = 13/52 = 1/4

2. Now we need to calculate the probability of not choosing a diamond as the second card.

In many cases, when given a problem that requires you to find the probability of something not happening, it may be easier to set it out as such:

Pr(A') = 1 - Pr(A)

ie. Pr(A not happening, or not A) = 1 - Pr(A happening, or A)

This works because the total probability is always 1 (100%), and it makes sense that to find the probability of A not happening, we take the total probability and subtract the probability of A actually happening.

Thus, given that we have already calculated that the probability of choosing a Diamond is 1/4, we can now set this out as such:

Pr(D') = 1 - Pr(D)

Pr(D') = 1 - 1/4

Pr(D') = 3/4

3. Now we come to the final step. To find the probability of something and then something else happening, we must multiply the two probabilities together. Thus, given that Pr(D) = 1/4 and Pr(D') = 3/4, we get:

Pr(D)*Pr(D') = (1/4)*(3/4)

= 3/16

Thus, the probability of choosing a diamond as the first card and then not choosing a diamond as the second card is 3/16.

7 0
3 years ago
A machine takes 5.4 hours to make 9 parts. At that rate how many parts can the machine make in 25.8 hours
Sliva [168]
\frac{5.4}{9} = \frac{25.8}{x}    Cross multiply.

5.4x=9*25.8

5.4x=232.2    Divide both sides by 5.4

x=43
4 0
3 years ago
Read 2 more answers
7(5 - 6x) - 4x =-8 + 35 show work
Sever21 [200]
This is the work and the answer is 4/23 or (in decimal form) 0.17391304

5 0
3 years ago
Sketch the graph of y+2=1/2(x-3)
valentina_108 [34]

Answer:

Step-by-step explanation:

y= 1/2x + −7/2

5 0
2 years ago
A number divided by eleven.
Sliva [168]

Answer:

Take the alternating sum of the digits in the number, read from left to right. If that is divisible by 11, so is the original number. So, for instance, 2728 has alternating sum of digits 2 – 7 + 2 – 8 = -11. Since -11 is divisible by 11, so is 2728.

4 0
3 years ago
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