anonymous
  • anonymous
Ten cards are numbered from 1 to 10 and placed in a box. One card is selected at random and replaced. Another card is selected at random. What is The probability of selecting a multiple of 3 and then a multiple of 2?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
How many multiples of 3 are there, and how many multiples of 2?
anonymous
  • anonymous
the probability of selecting multiples of 3 and multiples of 2
anonymous
  • anonymous
I'm confused.

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anonymous
  • anonymous
No, I'm saying count how many there are first. 1 2 is a multiple of 2 3 is a multiple of 3 4 is a multiple of 2 5 6 is a multiple of 2 and a multiple of 3 7 8 is a multiple of 2 9 is a multiple of 3 10 So how many multiples of 2 are there in the box? How many multiples of 3?
anonymous
  • anonymous
4 multiples of 2 and 3 multiples of 3.
anonymous
  • anonymous
Count again.
anonymous
  • anonymous
5 multiples of 2 and 3 multiples of 3
anonymous
  • anonymous
Correct. So when you pick the first card, what is the probability it will be a multiple of 3?
anonymous
  • anonymous
3
anonymous
  • anonymous
30%
anonymous
  • anonymous
Ok, and you put the first card back and pick again. What are the odds of picking a multiple of 2?
anonymous
  • anonymous
50%
anonymous
  • anonymous
Correct. So the odds of doing one and the other is: P(A and B) = P(A) * P(B) = .3 * .5 =
anonymous
  • anonymous
So 15%
anonymous
  • anonymous
I believe that should be correct yes.

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