4 ms·
Let’s say W stands for white ball and B for black ball. Let’s say we draw and order the white balls from least to greatest. It will look like this: W1 W2 W3 W4
by tigertheory 6y ago
Let’s say W stands for white ball and B for black ball. Let’s say we draw and order the white balls from least to greatest. It will look like this:
W1 W2 W3 W4 W5 B1
I’m asking what is the probability I get the two lowest white balls W1 and W2 correct but get all other balls W3 W4 W5 B1 incorrect?
- ColinWright 6y agoWhat do you mean by "get W1 and W2 correct"? I get the bit about drawing the balls and ordering them. I don't understand what you mean by "get them correct".
- tigertheory 6y agoThat means that if those numbers are drawn randomly from the containers, I’m asking what is the probability that a person guesses those numbers right BEFORE they are drawn as happens in the lottery?
- ColinWright 6y agoThat depends on how the person chose their numbers. So now you need to specify how the person chooses their numbers. Are they choosing their numbers uniformly at random without replacement? I still don't know that the black "mega" number has to do with this, and I'm still curious as to where the question comes from.
- tigertheory 6y agoLet’s say the person chooses those numbers randomly and in the same way they are drawn (e.g. no replacement so number 1 can only be chosen once for the white balls). The black ball is there just to get the exact probability estimate for the Mega Millions lottery. To answer your question it comes from the Mega Millions lottery which draws 5 white balls and 1 black ball. And I’m curious to know what is probability I get first two numbers right.
- ColinWright 6y agoOK, so the question is this: Suppose I draw 5 numbers uniformly at random from 1 to 70, and suppose I do so twice. What is the probability that the smallest two numbers match, and no others? So let a1<a2<a3<a4<a5 be the number from one draw, and let b1<b2<b3<b4<b5 be the number from the other draw. What is the probability that a1=b1, a2=b2, and a3, a4, a5, b3, b4, b5 are all different. Is that your question? How accurately do you need to know the answer? You can get an approximation quite quickly by simulation ... an exact answer will be horrible. Edit: OK, I have answers, but it would be useful to know how accurately you need your answer.
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