Question

Problem 6 A box contains 4 coins: • coin 1 has both sides heads. • coin 2 has both sides tails. • coin 3 has both sides tails. • coin 4 is a regular coin (1 side head, other side tails). (a)(3 points) If we randomly choose one coin from the box and flip, what is the probability we get heads? (b)(3 points) If we randomly choose one coin, flip, and it comes up heads, what is the probability it is coin 4?

Answer 1

box Hire it Contain is given that a 4 coins such as win. I had both side shead Pol.coin 2 has both sidetails Coin 3 has both side tails Coin 4 is regular win

Lit is define some Event A. getting head ist an y chousen Eri and coint in chuw sen E31 ved Il aught in choosen En with coin if choosen clearly P(EU PEDE PLE (Eg) =/ and PALE P(ALE) PEALE PLOED) 42 so a.) Pl getting_u) – P (A.) PIEU.PLA LED + PE2): PLATE2) + P[E3] PCMTE3) +PE9). PE MIET) Tax L + 2 x o te x t f x 2 41 at 1 x 1 & 2 4 8

킷 fregeiting) 3 2 b) f(wing is selected it comes heads) 4 PCHTE4): PEF PLET): PLATELEPET Ptathatt Hot #TOHPESH PATE43 X * * xother 9 + 011 Z -F wt of +/ 3/8 (coin 4 in selected, it wou) hadd)