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kakasveta [241]
3 years ago
6

There are 10 cranberry and 15 strawberry juices. You randomly pick two juices. What's the probability you'll get two strawberry

juices.
Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

  • 7/20

Explanation:

The theoretical probability, P (A), of an event, A, is:

  • P(A) = number of outcomes of event A / total number of possible outcomes

For 10 cranberry and 15 strawberry juices, the number of outcomes for two strawberry juices are:

  • Combination of 15 strawberry juices chosen in two:

C^{15}_{2}=\frac{15!}{(15-2)!(2!)}=\frac{15!}{13!2!}=\frac{15\times 14}{2}=105

The total number of possible outcomes is:

  • Combination of 25 juices chosen in two:

C^{25}_{2}=\frac{25!}{(25-2)!(2!)}=\frac{25!}{23!2!}=\frac{25\times 24}{2}=300

Thus, the probability of randomly picking two strawberry juices is:

  • P (two strawberry juices) = 105/300 = 7/20

Note that you can obtain it as the product of the probabilities that the first juice is a strawberry juice and the second juice is also strawberry juice:

15/25\times 14/24=(15\times 25)/(14\times 24)=210/600=7/20

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Answer:

259200 seconds

The conversion factor from days to seconds is 86400, which means that 1 day is equal to 86400 seconds:

1 d = 86400 s

To convert 3 days into seconds we have to multiply 3 by the conversion factor in order to get the time amount from days to seconds. We can also form a simple proportion to calculate the result:

1 d → 86400 s

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Solve the above proportion to obtain the time T in seconds:

T(s) = 3 d × 86400 s

T(s) = 259200 s

The final result is:

3 d → 259200 s

We conclude that 3 days is equivalent to 259200 seconds:

3 days = 259200 seconds

<em><u>Hope this helps :)</u></em>

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