Three dice are rolled. The number of possible outcomes in which at least one dice show 4 is
1. 92
2. 91
3. 287
4. None of these
1. 92
2. 91
3. 287
4. None of these
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Correct Answer – Option 2 : 91
Concept:
Required numbers of possible outcomes = Total numbers of possible outcomes – Number of possible outcomes in which 4 does not appear on any dice
Calculations:
Required numbers of possible outcomes
A dice has 6 numbers and since we don’t want it to show 4, we are left with five options 1,2,3,5,6.
Since any of the numbers can appear on any of the dice,
Number of ways in which 4 doesn’t appear on any of the dice= 5 × 5 × 5
⇒Hence, the required number of possible outcomes = \(\rm216 – 125 =91\)