Observation sequence Q: CCLLLLLLCCCC
Length of Q: 12

Before Observations :
P(h1) = 0.1
P(h2) = 0.2
P(h3) = 0.4
P(h4) = 0.2
P(h5) = 0.1

Probability that the next candy we pick will be C, given Q: 0.5
Probability that the next candy we pick will be L, given Q: 0.5

After Observation 1 = C:

P(h1 | Q) = 0.2
P(h2 | Q) = 0.3
P(h3 | Q) = 0.4
P(h4 | Q) = 0.1
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.65
Probability that the next candy we pick will be L, given Q: 0.35

After Observation 2 = C:

P(h1 | Q) = 0.30769
P(h2 | Q) = 0.34615
P(h3 | Q) = 0.30769
P(h4 | Q) = 0.03846
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.73076
Probability that the next candy we pick will be L, given Q: 0.26924

After Observation 3 = L:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.32141
P(h3 | Q) = 0.5714
P(h4 | Q) = 0.10713
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.55354
Probability that the next candy we pick will be L, given Q: 0.44646

After Observation 4 = L:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.17998
P(h3 | Q) = 0.63992
P(h4 | Q) = 0.17997
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.49994
Probability that the next candy we pick will be L, given Q: 0.50006

After Observation 5 = L:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.08998
P(h3 | Q) = 0.63984
P(h4 | Q) = 0.26992
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.45488
Probability that the next candy we pick will be L, given Q: 0.54512

After Observation 6 = L:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.04127
P(h3 | Q) = 0.58688
P(h4 | Q) = 0.37137
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.41723
Probability that the next candy we pick will be L, given Q: 0.58277

After Observation 7 = L:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.0177
P(h3 | Q) = 0.50353
P(h4 | Q) = 0.47794
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.38453
Probability that the next candy we pick will be L, given Q: 0.61547

After Observation 8 = L:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.00719
P(h3 | Q) = 0.40906
P(h4 | Q) = 0.58241
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.35552
Probability that the next candy we pick will be L, given Q: 0.64448

After Observation 9 = C:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.01517
P(h3 | Q) = 0.5753
P(h4 | Q) = 0.40955
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.40142
Probability that the next candy we pick will be L, given Q: 0.59858

After Observation 10 = C:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.02834
P(h3 | Q) = 0.71658
P(h4 | Q) = 0.25506
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.44331
Probability that the next candy we pick will be L, given Q: 0.55669

After Observation 11 = C:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.04795
P(h3 | Q) = 0.80822
P(h4 | Q) = 0.14384
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.47603
Probability that the next candy we pick will be L, given Q: 0.52397

After Observation 12 = C:

P(h1 | Q) = 0.0
P(h2 | Q) = 0.07555
P(h3 | Q) = 0.84892
P(h4 | Q) = 0.07554
P(h5 | Q) = 0.0

Probability that the next candy we pick will be C, given Q: 0.50001
Probability that the next candy we pick will be L, given Q: 0.49999