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Leno4ka [110]
3 years ago
8

What is the probability of drawing a face card (a jack, queen, king, or ace)?

Mathematics
2 answers:
Elan Coil [88]3 years ago
6 0

Answer:

\frac{4}{13}

Step-by-step explanation:

There are 13 types of cards in a deck.

The question is asking the probability of getting a face card. There are 4 of these cards.

So, the probability will be \frac{4}{13}

mash [69]3 years ago
6 0

Answer

4/13

Step-by-step explanation:

there are 13 types, and 4 faces, so it is 16/52 aka 4/13

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In a television series there is exactly one crime committed in every episode. It has been observed that the probability that the
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Answer:

P(x \le 3) = 0.2352

Step-by-step explanation:

Given

p = 0.35 --- male committing a crime in an episode

n = 5 -- Number of episodes

Required

Determine the probability of male committing a crime at least 3 times

This question illustrates binomial distribution and will be solved using;

P(x) = ^nC_x * p^x * (1 - p)^{n-x

So, the required probability is represented as:

P(x \ge 3)

And will be calculated using:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^{5-3}

P(x = 3) = ^5C_3 * (0.35)^3 * (1 - 0.35)^2

P(x = 3) = 10 * (0.35)^3 * (0.65)^2

P(x = 3) = 0.1811

P(x = 4) = ^5C_4 * (0.35)^4 * (1 - 0.35)^{5-4}

P(x = 4) = 5 * (0.35)^4 * (1 - 0.35)^1

P(x = 4) = 5 * (0.35)^4 * (0.65)

P(x = 4) = 0.0488

P(x = 5) = ^5C_5 * (0.35)^5 * (1 - 0.35)^{5-5}

P(x = 5) = 1 * (0.35)^5 * (1 - 0.35)^0

P(x = 5) = 1 * (0.35)^5 * (0.65)^0

P(x = 5) = 1 * (0.35)^5 * 1

P(x = 5) = 0.0053

So:

P(x \ge 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x \le 3) = 0.1811 + 0.0488 + 0.0053

P(x \le 3) = 0.2352

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2 years ago
What is the measure of \angle 1?, What is the measure of \angle 2?, What is the measure of \angle 4? and What is the measure of
mote1985 [20]

Answer:

<1  and <6 = 98

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Step-by-step explanation:

82 + 9x - 6 + 6x - 1 = 180

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15x = 105

x = 7

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x + 82 = 180

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<6 = <1 because of vertical angle thm

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What is the answer to my image?
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Answer: x

≤

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or

x

≥

8

Step-by-step explanation:

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