Which of the following has less than 50% chances of occurrence?
-
Throwing a multiple of 2 in a 6 face dice.
-
Throwing a multiple of 5 in case of a 6 face dice.
-
Getting both heads while throwing two coins.
-
Getting a prime no. or an even no, in throwing a 6 face dice.
A: Multiples of 2 are 2, 4, 6 (3/6 = 50%). B: Multiples of 5 is 5 (1/6 = 16.67%). C: Getting HH is 1/4 (25%). D: Prime (2, 3, 5) or Even (2, 4, 6) are {2, 3, 4, 5, 6} (5/6 = 83.33%). Option B is the only one clearly less than 50%.
Use the fundamental formula for probability, which is the ratio of favorable outcomes to total outcomes. For option B, throwing a multiple of 5 on a six-faced die yields only one favorable outcome, the number 5. The total possible outcomes are six, so the probability is 1 divided by 6, which is roughly 0.167, making it less than 50 percent.