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Murljashka [212]
2 years ago
13

Two cards are drawn in succession from a standard 52-card deck.1. What is the probability that the first card is red and the sec

ond card is black(A) If the cards are drawn without replacement?(B) If the cards are drawn with replacement?2. Two balls are drawn in succession out of a box containing 3 red and 5 white balls. Find the probability that at least 1 ball was red, given that the first ball was(A) Replaced before the second draw(B) Not replaced before the second drawContext Header: Conditional ProbabilityContext Section:Conditional Probability is a calculation of the likelihood of an occurrence provided that another event has already occurred. Conditional probability A provided B is generally written as:P(A/B)=P(A∩B)P(B)
Mathematics
1 answer:
rodikova [14]2 years ago
8 0

Answer:

52 cards:

26 red and 26 black

P(R) = probability of picking a red card

P(B) = probability of picking a black card

P(R) = P(B) = ¹/₂

If with replacement:

P(R∩B) = (¹/₂)(¹/₂) = ¹/₄

If without replacement:

P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁

8 Balls:

3 red and 5 white

P(R) = probability of picking a red ball

P(W) = probability of picking a white ball

P(R) = ³/₈

P(W) = ⁵/₈

If with replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)

= ¹⁵/₆₄ + ¹⁵/₆₄

= ³⁰/₆₄

= ¹⁵/₃₂

If without replacement:

P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)

= ¹⁵/₄₂ + ¹⁵/₄₂

= ³⁰/₄₂

= ⁵/₇

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Janice lost a total of 24 points on her math test. Each question she answered incorrectly was a loss of 3 points. How many quest
NARA [144]

Answer:

let

tp=total points lost

l= points lost

q= question

tp=24

l= 3

if l= 3 and tp= 24 den q= tp÷l

24÷3=8

3 0
3 years ago
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Donte scored 55 on his mastery exam. What percent did Donte score?
masha68 [24]

Answer: See explanation

Step-by-step explanation:

Your question isn't complete. First and foremost, to be able to solve this, we need to know the total marks of the examination.

Let's assume that the total marks for the exam is 80. Since Donte scored 55 on his mastery exam, the percent that he score will be:

= 55/80 × 100

= 68.75%

6 0
3 years ago
Can someone please help ? (:
ratelena [41]
Wow! There so much extra stuff on this drawing, naturally it's hard to see
what's going on.

First, do you remember "vertical angles" ?  They're the pair of opposite angles
that form where lines cross, and they're equal.

-- It says that angle-1 is 55 degrees.
Angle-1 and angle-7 are vertical angles, so angle-7 is also 55 degrees.

-- It says that angle-4 is 60 degrees.
Angle-4 and angle-6 are vertical angles, so angle-6 is also 60 degrees.

Now you can forget about all that stuff that's outside of the triangle in the middle,
and just look at the triangle. They want you to find angle-10.


See the angles at the top of the triangle ... angle-7 and angle-6 ?
We know what both of those are.  Angle-7 is 55 degrees, and angle-6 is 60 degrees.

Do you remember what the 3 angles inside a triangle always add up to ?
They always add up to 180 degrees.

Add angle-7 and angle-6 together . . . 55 + 60 = 115 degrees.

So angle-10 is just the rest of the 180 degrees inside the triangle.

Angle-10 = 180 - (115) = 65 degrees



8 0
3 years ago
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Suppose that a fair, 6 sided die is rolled. Let X indicate the event that an odd number is rolled (in other words, X = 1 if an o
choli [55]

Answer:

\frac{1}{3}

Step-by-step explanation:

We are given that a fair 6 sided die is rolled.

Let X denotes the event that an odd number

X=1, if an odd number

X=0, if an even number

Let Y indicates the event that 2,3 or 4 is rolled .

Y=0,if 1,5 or  6 rolled

Y=1 , if 2,3 or 4 rolled

We have to find P(X=0,Y=1)

It  means we have to find P(2 or 4).

When X=0 and Y=1 It means we get an even number.

P(2 or 4)=P(2)+P(4)=\frac{1}{6}+\frac{1}{6}=\frac{2}{6}=\frac{1}{3}

Hence, P(X=0,Y=1)=\frac{1}{3}

7 0
2 years ago
A new movie is released each year for 8 years to go along with a popular book series. Which movie is 5 minutes longer than the l
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Answer:

\boxed{\text{12 h 20 min}}

Step-by-step explanation:

1. Find the eighth term

You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it

The general formula for the nth term (aₙ) is

aₙ = a₁ + (n - 1)d

where a₁ is the first term and d is the common difference (5) between consecutive terms.  Thus,

a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110

2. Find the sum

The formula for sum of the first n terms of an arithmetic sequence is

S_{n} & = & \dfrac{n(a_{1} + a_{n})}{2}

So

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