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erastovalidia [21]
2 years ago
13

You are dealt one card from a​ 52-card deck. Find the probability that you are not dealt a black picture card.

Mathematics
2 answers:
elena55 [62]2 years ago
6 0

Answer: 1 in 51

Step-by-step explanation:

zavuch27 [327]2 years ago
6 0

Answer:

23/26

Step-by-step explanation:

A standard deck of cards has 52 cards.

The cards are divided into 13 cards of each of 4 suits.

2 suits are black and 2 suits are red.

Each suit has 3 face cards. Since there are 2 black suits, there are 6 black face cards.

The total number of cards in a deck is 52.

52 - 6 = 46

There are 46 cards that are not black suit cards out of 52 total cards.

p(not black face card) = 46/52 = 23/26

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3 years ago
PLEASE HELP
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Step-by-step explanation:

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USA Today reports that about 25% of all prison parolees become repeat offenders. Alice is a social worker whose job is to counse
pychu [463]

Answer:

a) P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039  

P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469  

P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211  

P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422  

P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316

b) E(X) = np = 4*0.75=3

c) Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866

d) P(X \geq 3) \geq 0.98

And the dsitribution that satisfy this is X\sim Binom(n=9,p=0.75

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

X \sim Binom(n=4, p=1-0.25=0.75)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

P(X=0)=(4C0)(0.75)^0 (1-0.75)^{4-0}=0.0039  

P(X=1)=(4C1)(0.75)^1 (1-0.75)^{4-1}=0.0469  

P(X=2)=(4C2)(0.75)^2 (1-0.75)^{4-2}=0.211  

P(X=3)=(4C3)(0.75)^2 (1-0.75)^{4-3}=0.422  

P(X=4)=(4C4)(0.75)^2 (1-0.75)^{4-4}=0.316

Part b

The expected value is givn by:

E(X) = np = 4*0.75=3

Part c

For the standard deviation we have this:

Sd(X) =\sqrt{np(1-p)}=\sqrt{4*0.75*(1-0.75)}=0.866

Part d

For this case the sample size needs to be higher or equal to 9. Since we need a value such that:

P(X \geq 3) \geq 0.98

And the dsitribution that satisfy this is X\sim Binom(n=9,p=0.75

We can verify this using the following code:

"=1-BINOM.DIST(3,9,0.75,TRUE)" and we got 0.99 and the condition is satisfied.

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3 years ago
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Answer:

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So, the consonants are 7, so 7/11 times 6/10, which is 21/55.

Then, just 1 - 21/55 to get 34/55

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