According to www.liq.wa.gov/tobacco/Tobacco%2520Tax%2520Fact%2520Sheet%252019%2520mar%252002.pdf+washington+state+cigarette+tax&hl=en&ie=UTF-8]this site, Washington cigarette tax currently breaks down like this.
Health Care - $1.01
General Fund - $0.23
Programs to stop youth violence - $0.10
Water Quality - $0.08
Total tax per pack - $1.42