Each week a grocery shopper buys either canned (C) or bottled (B)

Each week a grocery shopper buys either canned (C) or bottled (B)
soft drinks. The type of soft drink purchased in 3 consecutive weeks is to be recorded. If a different type of soft drink is purchased than in the previous week, we say P(B) = 1/2that there is a switch. Let X denote the number of switches. Suppose that for each purchase and the decisions in different weeks are independent. Assign probabilities to the elementary outcomes and obtain the distribution of X . Write the x-values in ascending order.

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