a. A fleet of lorries A, B, and C are loaded with blocks meant for a building site.
Lorry A carries 2/5 of all the needed blocks, B carries 3/4 of what lorry A carries, and lorry C carries the rest. Lorries A, B, and C contain 13%, 15%, and 11% damaged blocks, respectively.

By drawing a suitable tree diagram, calculate:
i. The proportion of damaged blocks in the fleet. (8 Marks)

ii. The probability of randomly taking a damaged block from lorry B. (2 Marks)

(a) Probability Tree

(i) From the above tree diagram, proportion of damaged blocks
= 0.052 + 0.045 + 0.033 = 0.13.

(ii). Probability of randomly taking a damaged block from = 

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