Project ForgeEngineering Mathematics
Probability & Statistics
GATE 2013
Easy
For two rolls of a fair die, the probability of getting a 4 in the first roll and a number less than 4 in the second roll, up to 3 digits after the decimal point, is _____
0.083(± 0.002 accepted)
Explanation
P(4 on first roll)=1/6. P(number<4 on second roll)=P(1,2,or 3)=3/6=1/2. Since the rolls are independent, P(both)=1/6×1/2=1/12≈0.083.
Source: GATE CH 2013 (2013)
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