Kalani et al. (2008) discovered cells responsive to Wnt proteins in the subventricular zone of developing brains of mouse embryos. These cells included a high fraction of self-renewing stem cells, which suggested that Wnt signaling occurs during brain cell self-renewal. In a particular cell preparation in vitro, 9% of subventricular brain cells were Wnt-responsive. If six cells are sampled randomly from the cell preparations, what is the probability of sampling Wnt-responsive (W) and nonresponsive (L) cells in the following orders, from a large population of cells?

a. WWLWWW

b. WWWWWL

c. LWWWWW

d. WLWLWL

e. WWWLLL

f. WWWWWW

g. What is the probability of at least one nonresponsive brain cell when six cells are randomly sampled?