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ivanzaharov [21]
3 years ago
9

40. Mike has two electric train sets: A and B. Each train is on its own circular track.

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0
"He starts both trains at the same time. Train A returns to its starting point every 12 seconds and Train B returns to its starting point every 9 seconds". Basically, what you need to do is find the least common multiple. The least common multiple of 12 and 9 is 36, so the least amount of time, in seconds, that both trains will arrive at the starting points at the same time is 36 seconds.
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The probability that you'll be a magic elf is \frac{1}{15} or 6.66%.

Step-by-step explanation:

Step 1:

Let A be the event of you choosing an elf.

The probability of an event is given by dividing the number of favorable outcomes by the total number of outcomes.

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Step 2:

Let B be the event of you choosing magic as your defense.

In this situation, the number of favorable outcomes is 1 and the total number of outcomes is 5 i.e. magic, sword, shield, slingshot, or umbrella.

The probability of choosing magic as your defense, P(B) = \frac{1}{5} .

Step 3:

The probability of both events A and B happening, we multiply the individual probabilities.

P(getting a magic elf) = (P(A))(P(B)) = (\frac{1}{3} )(\frac{1}{5} ) = \frac{1}{15} = 6.66\%.

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Step-by-step explanation:

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