What is the probability of getting a number less than three on a fair die and a tail on a coin flip
To calculate the probability of getting a number less than three on a fair die, we count the favorable outcomes (numbers less than three) and divide it by the total number of possible outcomes.
Favorable outcomes: 2 (i.e. numbers 1 and 2)
Total possible outcomes: 6 (i.e. numbers 1, 2, 3, 4, 5, and 6)
So, the probability of getting a number less than three on a fair die is 2/6 or 1/3.
To calculate the probability of getting a tail on a coin flip, we count the favorable outcome (getting a tail) and divide it by the total number of possible outcomes.
Favorable outcome: 1 (getting a tail)
Total possible outcomes: 2 (getting a head or tail)
So, the probability of getting a tail on a coin flip is 1/2.
To calculate the probability of both events happening together (getting a number less than three on a fair die AND a tail on a coin flip), we multiply the individual probabilities.
Probability of getting a number less than three on a fair die: 1/3
Probability of getting a tail on a coin flip: 1/2
Probability of both events happening together: (1/3) * (1/2) = 1/6
Therefore, the probability of getting a number less than three on a fair die and a tail on a coin flip is 1/6.