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RSB [31]
3 years ago
10

A bag has 2 blue marbles, 3 red marbles, and 5 white marbles. Which events have a probability greater than 1/5? Check ALL that a

pply.
1. Choosing 1 blue marble


2. Choosing 1 red marble


3. Choosing 1 red marble, not replacing it, and then choosing a blue marble


4. Choosing 1 white marble, replacing it, and choosing another white marble


5. Choosing 1 white marble
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Let's just go through all possible answers and see which ones give what you are asking for.


1

the Total number of marbles is 10

You have 2 blue marbles

P(blue) = 2/10 = 1/5 which is not a good answer.


2

There are 3 red marbles.

P(red) = 3/10 = 0.3 which is greater than 1/5 <<<< Possible answer.


3

3 red marbles out of 10 = 3/10

2 blue marbles = 2/9

Probability of (red then blue)= 3/10 * 2/9 = 1/15 which is not greater than 1/5


4

1 white marble replacing it and white again.

1/2 * 1/2 = 1/4 which is greater than 1/5 <<<<<<<< Answer


5

There are 5 white marbles. 5/10 is the probability of drawing a white. P(white) = 1/2. That is greater than 1/5.<<<< Possible Answer


Answers 2,4,5


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Answer:

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Step-by-step explanation:

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So,  P(S\bigcap L) = 0.063 .

Now, probability that a smoker has lung disease is given by = P(L/S)

      P(L/S) = \frac{P(S\bigcap L)}{P(S)}

P(S) = P(S/L) * P(L) + P(S/L') * P(L')

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Therefore, P(L/S) = \frac{0.063}{0.2955} = 0.2132

Hence, probability that a smoker has lung disease is 0.2132 .

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