Three identical dices are rolled together, what is the probability that the product of all three outcomes on the three dices will be odd ?
Answer & explanation
Correct answer: option 3
Product of all the digits will be odd if all the digits are odd.
Probability to get odd on one dice =\(\frac{3}{6}\) = \(\frac{1}{2}\)
so, probability of getting odd no. on all the three devices = \(\frac{1}{2}\) ×\(\frac{1}{2}\) × \(\frac{1}{2}\)
Probability ( product will be odd) = \(\frac{1}{8}\)