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Archy [21]
3 years ago
10

.1.In a large bag of marbles, 25% of them are red. A child chooses 4 marbles from this bag. If the child chooses the marbles at

random, what is the chance that the child gets exactly three red marbles? . A) 0.047. B) 0.141 . C) 0.211 . D) 0.063. . 2.A pet supplier has a stock of parakeets of which 10% are blue parakeets. A pet store orders 3 parakeets from this supplier. If the supplier selects the parakeets at random, what is the chance that the pet store gets exactly one blue parakeet?. A) 0.081 . B) 0.243 . C) 0.027 . D) 0.003 . In a large bag of marbles, 25% of them are red. A child chooses 4 marbles
Mathematics
2 answers:
professor190 [17]3 years ago
6 0
1. Your question tells that the percentage of the red marble in the bag is 25%. So if a child chooses 4 marbles, the probability that he could get 3 red marbles is A.0.047
2.In your question the supplier has a stock of parakeets were 10% is blue, so the chance of the supplier to deliver 1 blue parakeet out of 3 is letter B.0.243
WARRIOR [948]3 years ago
5 0

Answer:

A: 0.047

B: 0.243

Step-by-step explanation:

A:

\frac{4!}{3!(4-3)!} (0.25)^{3} (1-0.25)^{4-3}

= 0.0468 ≈ 0.047

B:

The probability of a blue parakeet to be chosen is 0.10 and the probability of a non blue parakeet is 0.90.

We can conclude from the given situation, the following combinations:

No blue parakeet:  0.90^{3}= 0.729

If 1 blue parakeet is selected: 0.90^{2}\times0.10= 0.081

When there are 2 blue parakeets: 0.90\times0.10^{2} =0.009

When 3 blue parakeets: 0.10^{3} =0.001

So,the chance that the pet store gets exactly one blue parakeet is given by:

0.081\times3 =0.243

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Answer:

B. Beth's age is 18 years, and Sally's age is 42 years.

Step-by-step explanation:

You can solve this question in a couple of different ways. First, you can use process of elimination. You know that Sally is older than Beth because she has to be 3 times older 6 years ago, so you can get rid of options C and D because they both show Beth as being older. Now you only have A and B, and you can use a different process. Now from just looking at it, you can tell that A actually already shows Sally as 3 times Beth's age, 15 * 3 = 45. If you go to B, you can go ahead and subtract 6 from 18 (Beth's age) which will give you 12, and then multiply that by 3 to get 36. Now if you take 42 (Sally's age) and subtract 6 from it as well, you will get 36. This means that is lines up. To simplify, you are subtracting 6 from both 18 and 42, and then you are multiplying the lower number by 3 to see if it gets to the bigger number.

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