The probability of the sequence W, W, L, L, W is (0.4)³ + (0.6)².
Given data;
Five games are played. Each play has a probability of winning, P(W), of 0.4, and a probability of losing, P(L), of 0.6. The results of the plays are probabilistically independent.
To get the probability of the sequence W, W, L, L, W.
Now,
As the results are probabilistically independent,
The probability of the sequence is;
→ [(P(W)]³ + [(P(L)]²
→ (0.4)³ + (0.6)²
Hence, the probability of the sequence W, W, L, L, W is (0.4)³ + (0.6)².
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