Question

need (B) & (C) please

Height 4 untsa Length 10 units b) Below is a rectangle for which we know the length [10 units] and height [4 units]. It is split into two sections which are identified using different colours. Write the Monte Carlo simulation steps to calculate the area covered by the black colour? A man is trying to go in a direction (say y-axis in xy-plane). But What is the area covered by Black? sometimes he moves in forward direction and sometimes left, right or backward direction. Probabilities of man's steps are given as follows Probability of moving forward= 0.5 Probability of moving backward 0.1 Probability of moving right = 0.2 Probability of moving left 0.2 It is assumed that he takes one step per minute and his destination is ten steps in the direction of y-axis. Find out the position of the man after ten steps

Answer 1

Soluhon (B) Uainy monte- car le pardo m ly put 76 dots in bichure o, af dets in black arceer 46 enit total units of ack part arla actangle black bart X area total of dots 46 40 x 76 24.2/ unit

Solucton (c) P(F)= o.5 P(B)- 0.) ust PCR) 0.2 p(L)- 0.2 Lvan Brr stehs towands forward derection Sevorr vo 10 (P(8)) 5re 040 /0 PCF) (10x0.1) uoteps stebs towardssight /0 P(R)1 P(L) stise Ιv (6. 3) =0C0.2)-10(o. 9) ddorpd (YC06 ed 19 iny-direitin anly So U Jst S -stepo away 4-steps