Recent content by iceblits

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    Is (nearly) all mathematics addition?

    maybe all of mathematical calculation CAN be reduced to addition (or at least the broader idea of the operation)...but that's like saying that chess can be reduced to a series of hand movements, the flute a series of finger movements. Although both of these things are true, the idea is too...
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    Differential Geometry: angle between a line to a curve and a vector

    Homework Statement Let α(t) be a regular, parametrized curve in the xy plane viewed as a subset of ℝ^3. Let p be a fixed point not on the curve. Let u be a fixed vector. Let θ(t) be the angle that α(t)-p makes with the direction u. Prove that: θ'(t)=||α'(t) X (α(t)-p)||/(||(α(t)-p)||)^2...
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    A Basic Differential Geometry Question

    Oh my gosh I can't believe I even posted this question haha!..its a constant of course
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    A Basic Differential Geometry Question

    Suppose x(t) is a curve in ℝ^2 satisfying x*x'=0 where * is the dot product. Show that x(t) is a circle. The hint says find the derivative of ||x(t)||^2 which is zero and doesn't tell me much. I was hoping for x*x= r, r a constant.
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    What is the probability of drawing an ace or a club from a deck of cards?

    Oh so is it really something as simple as: 4/52+13/52-1/52 lol?
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    What is the probability of drawing an ace or a club from a deck of cards?

    Using this method do i get: (4*51!+13*52*51!-52*1*50!)/(52!)?
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    What is the probability of drawing an ace or a club from a deck of cards?

    Last card i would say... 1-(51!/(52!))? Edit: that's not right
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    What is the probability of drawing an ace or a club from a deck of cards?

    Oh! So it should be a factorial..i forgot about the ways to arrange the rest of the cards
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    What is the probability of drawing an ace or a club from a deck of cards?

    is it.. The first card is an ace in: 4*51 cases The second card is a club in: 52*13 cases The second card an ace of clubs: 52*1
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    What is the probability of drawing an ace or a club from a deck of cards?

    Oh are you saying: AUB=A+B-A(and)B implies AUB=(4/52)+(13/51)-(the answer from part b)?
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    What is the probability of drawing an ace or a club from a deck of cards?

    Oh I see!.. So would the and question then be: P(ace first)*P(clubs on second draw|probability of ace on first draw)=4/52*12/51 edit: just realized you are referring to the (b)...I think I'm still stuck on (a)...I will think about what you said
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    What is the probability of drawing an ace or a club from a deck of cards?

    I think that is my second case. AUB=A+B-A(And)B right? so are you saying then that a.) should be p(ace)+p(clubs)-p(ace of clubs) so (4/52)+(13/51)-(1/52)? I guess I am just confused about what to do with the drawing of two cards..because drawing one card decreases the number
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    What is the probability of drawing an ace or a club from a deck of cards?

    Homework Statement You draw 2 cards from a standard deck of cards without replacement. a.) what is the probability that the first card is an ace OR the second card is a clubs. b.) what is the probability that the first card is an ace AND the second card is a clubs Homework Equations...
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