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...
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...
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.
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
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
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...