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serious [3.7K]
3 years ago
9

There are 7 cherries and 3 grapes in a bag. What is the pobability of selecting 2 grapes at random without replacement?

Mathematics
1 answer:
dlinn [17]3 years ago
3 0

Answer:

1/15

Step-by-step explanation:

7+3 = 10 items in the bag

P(grape) = grapes/total

                3/10

No replacement

7 cherries 2 grapes = 9 items

P(grape) =  grapes/total

                    2/9

P(grape, no replacement, grape) = 3/10*2/9

                                                       =1/15

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To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in
lukranit [14]

Answer: \dfrac{26}{27}

Step-by-step explanation:

Given : To avoid detection at customs, a traveler places 6 narcotic tablets in a bottle containing 9 vitamin tablets that are similar in appearance.

Proportion of success : p=\dfrac{6}{9}=\dfrac{2}{3}

Sample size taken by customs official : n= 3

Let x be a binomial variable that represents the tablets in the bottle.

Using Binomial probability formula :-

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

The probability that the traveler will be arrested for illegal possession of narcotics =P(x\geq1)=1-P(x=0)

1-^3C_0(\dfrac{2}{3})^0(1-\dfrac{2}{3})^3\\\\=1-(1)(1)(\dfrac{1}{3})^3\ [\becuase ^nC_0=1]\\\\=1-\dfrac{1}{27}=\dfrac{26}{27}

Hence, the probability that the traveler will be arrested for illegal possession of narcotics = \dfrac{26}{27}

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3 years ago
Help me please!! The next model of a sports car will cost 12.2% less than the current model. The current model costs $34,000. Ho
andrey2020 [161]

Answer:

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7 0
2 years ago
Indicate which sets are disjoint to the given set
marysya [2.9K]

If the intersection of two sets is a null set or an empty set, then two sets A and B are disjoint sets. The intersection of a set is therefore empty.

<h3>Explain about the disjoined set?</h3>

Disjoint sets are a pair of sets that do not share any elements. For instance, the sets A=2,3 and B=4,5 are not connected sets. However, set C=3,4,5 and set C=3,6,7 are not disjoint since 3 is a common element in both sets C and D.

Now that we are clear on the disjoint set's definition, let's go on to talking about some more important topics, such the notation and Venn diagram related to it. A B = is the notation used for this particular set. As an illustration, suppose A = 1, 2, 3, and B = 4, 5, 6, 7. A + B = then.

To learn more about disjoined set refer to:

brainly.com/question/28165517

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I think the answer is Obtuse
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3 years ago
I need help with this question
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The first step is to square root both sides to get the exponent out. that actually is the only step :)
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