In a single throw of two dice , find the probability that neither a doublet nor a total of 8 will appear.
n(S) = 36
A = {(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}
B = { (2, 6), (3, 5), (4, 4), (5, 3), (6, 2) }
nA=6, nB=5, nA∩B=1
∴Required probability = PA∪B
= PA+PB-PA∩B
= 636+536-136 = 518
Find the range and mode of the data 17, 18, 28, 19, 16, 18, 17, 29, 18
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