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balandron [24]
3 years ago
8

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a spade fo

r the second card drawn, if the first card, drawn without replacement, was a heart? Express your answer as a fraction or a decimal number rounded to four decimal places
Mathematics
1 answer:
Gre4nikov [31]3 years ago
8 0

Answer: 0.5049

Step-by-step explanation:

The probability that the first card drawn is a heart is 13/52 = 1/4

The probability that the second card drawn, without replacement, is a spade is 13/51

So the probability of drawing a heart for the first card and spade for the second card is

1/4 + 13/51 = 103 / 204 = 0 5049

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aleksandrvk [35]

the perimeter is 35 and are is 40

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3 years ago
PLEASE I NEED HELP! I want to understand this question.
jasenka [17]

Answer:

TP = 5. greater than

Step-by-step explanation:

1. Out of the 4 options, HH, HT, TH, TT, there is one option we want (HT) which is one our of the four options. that means that the theoretical probability is 1/4 = 25%. Since there were 20 flips, the theoretical probability is 25% of 20 which is 5.

2. For experimental probability, its what actually happenned. Out of the 20 flips, 6 were HT so comapared to the Theoretical probability, the experimental probability was higher.

7 0
2 years ago
Find the sum of the geometric series 40 + 40(1.005) + 40(1.005)^2 + ⋯ + 40(1.005)^11.
KiRa [710]

Answer:

The sum is 493.4

Step-by-step explanation:

In order to find the value of the sum, you have to apply the geometric series formula, which is:

\sum_{i=1}^{n} ar^{i-1} = \frac{a(1-r^{n})}{1-r}

where i is the starting point, n is the number of terms, a is the first term and r is the common ratio.

The finite geometric series converges to the expression in the right side of the equation. Therefore, you don't need to calculate all the terms. You can use the expression directly.

In this case:

a=40

b= 1.005

n=12 (because the first term is 40 and the last term is 40(1.005)^11 )

Replacing in the formula:

\frac{a(1-r^{n})}{1-r} = \frac{40(1-1.005^{12})}{1-1.005}

Solving it:

The sum is 493.4

4 0
3 years ago
What is this answer?? : [6.6 ÷ (–5 + 3)] • (–1)
Mars2501 [29]
Your answer is 3.3

-Hope I helped you. :)
3 0
3 years ago
Evaluate the Expression :<br> (-2 4/5) + 2 2/3 + (-3 1/2)
denis-greek [22]

−24/5+22/3+−31/2

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=−389/30

7 0
3 years ago
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