Start with a deck of 52 cards. Draw 1 card. Probability of drawing a diamond first:
Now draw another single card from the deck, which now contains 51 cards. Probability of drawing a spade:
Draw 1 last card. The deck has 50 cards left, and 12 of these are diamonds. Probability of drawing a diamond:
So the probability of drawing a diamond, then a spade, then another diamond is
Answer:
- Rx2e-xdx=-e-x(x2+2x+2)+candR-xe-xdx=xe-x+e-x+c)CS 70, Summer 2016, HW 62
Step-by-step explanation:
- CIA(8 points)Jason Bourne has been held captive in a prison from which there are three possible routes to escape:an air duct, a sewer pipe and the door (which happens to be unlocked). The air duct leads him on athree hour trip whereupon he falls through a trap door onto his head. The sewer pipe is similar buttakes two hours to traverse. Each fall produces amnesia and he is returned to the cell immediatelyafter each fall. Assume that he always immediately chooses one of the three exits from the cell withprobability13. On average, how long does it take before he opens the unlocked door and escapes?9.Markov Chain(12 points: 4/3/5)Consider the Markov chainX(n)with the state diagram shown below, wherea,b∈(0,1).Figure 1: State diagram(a) Is this Markov chain irreducible? Is it aperiodic? Briefly justify your answers.(b) Calculate Pr[X1=1,X2=0,X3=0,X4=1|X0=0].(c) Calculate the invariant distribution.CS 70, Summer 2016, HW 63
- Alice and Bob are going to study for the upcoming midterm together. They agree to meet at timetthis afternoon. Alice will show upXhours aftert, whereX∈Uniform[0,2]. Bob’s arrival time ismore unpredictable. He will be distracted by Pokemon Go and will show upYhours aftert, whereY∈Expo(1). The person who shows up later is late forThours. What isE[T]? (Hint: some usefulintegrals
# if you need any queshtions aswered speedly hit me up and I got you
9^6
The answer is nine the power of six
