An unbiased dice is rolled 4 times. Out of 4 numbers that are shown up, the probability that the least is greater than 1 and the greatest is less than 5 is:
Explanation:
The numbers that can come up on the dice are 2 or 3 or 5, i.e., 3 possibilities.
⇒ Out of total 6 possibilities there are 3 required outcomes. ∴ Required probability for any 1 toss = 3/6 = ½
⇒ Required probability for 4 tosses = ½ × ½ × ½ × ½ = 1/16.
Hence, option (d).
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