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4 years ago

Need help please.....

Mathematics

1 answer:

givi [52]4 years ago

3 0

I think the correct answer here is B, 7.5 because it is proportional.

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Five cards are dealt from a standard 52-card deck. (a) What is the probability that we draw 1 ace, 1 two, 1 three, 1 four, and 1

labwork [276]

Answer:

Step-by-step explanation:

As there are total 52 cards in a deck and we have to draw a set of 5 cards, we can use the formula of combination to find the total number of possible ways of drawing 5 cards.

Number of ways to draw 5 cards = $N_T$

$N_T\;=\;({}^NC_k)\\\\N_T\;=\;({}^{52}C_5)\\\\N_T\;=\;2,598,960$

(a) Assuming the cards are drawn in order (would not affect the probability). The of getting Ace, 2, 3, 4 and 5 can be obtained by multiplying the probability of getting cards below 6 (20/52) with the probability of getting 5 different cards (4 choices for each card).

$P(a)\;=\;\frac{20}{52}*\frac{4}{52}*\frac{4}{51}*\frac{4}{50}*\frac{4}{49}*\frac{4}{48}\\\\P(a)\;=\; 1.3133*10^{-6}$

(b) For a straight we require our set to be in a sequence. The choices for lowest value card to produce a sequence are ace, 2, 3, 4, 5, 6, 7, 8, 9, or 10. Hence, the number of ways are $({}^{10}C_1)$ .

For each card we can draw from any of the 4 sets. It can be described mathematically as: $({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)*({}^{4}C_1)\;=\;[({}^{4}C_1)^5]$

Therefore, the total outcomes for drawing straight are:

$N_S\;=\;({}^{4}C_1)*({}^{4}C_1)^5\;=\;10240$

Thus, the probability of getting a straight hand is:

$P(b)\;=\;\frac{N_S}{N_T}\\\\P(b)\;=\;\frac{10240}{2598960}\\\\P(b)\;=\; 0.0039$

7 0

3 years ago

Find the Area of the Shaded Region,

snow_lady [41]

Answer:

49ft

Step-by-step explanation:

4×10=40

6×3/2=9

40+9=49

4 0

3 years ago

What is an equal equation using the numbers 2 9 2 1 7

SSSSS [86.1K]

You must try things out. Use the numbers in different combinations. You are going to need a plus or negative in there because no three didget number is equal to a two didget number.
You can use the numbers as double didgets also.
If anyone has anything to add to this feel free.

7 0

3 years ago

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Erik rides his motorbike 26 2/3 miles in 2/3 hour. What is Erik’s average speed in miles per hour? Enter the number in the box.

Scilla [17]

Answer:

40 mph

Step-by-step explanation:

average speed 40mph

5 0

3 years ago

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