Question

“Toss a six sides dice once and you record the results. Toss it again and you record the results. What is the probability that you rolled an even number on the first toss and an odd number on the second toss?”

Answer 1

Solution:
Number of sides in dice = 6 which are 1, 2, 3, 4, 5, 6
Number of odd sides in dice = 3 which are 1, 3, 5
Number of even sides in dice = 3 which are 2, 4, 6
So Probability that you rolled an even number on the first toss = Total even Sides/Total side = 3/6 = 1/2
The probability that an odd number on the second toss = Total odd Sides/Total side = 3/6 = 1/2
probability that you rolled an even number on the first toss and an odd number on the second toss = Probability that you rolled an even number on the first toss * The probability that an odd number on the second toss = (1/2)*(1/2) = 1/4 = 0.25
So there is a 25% probability that you rolled an even number on the first toss and an odd number on the second toss.