The probability that the dice lands on an odd number and the counter lands on red is 1/2 or 0.5
How to calculate the probability
The sample space diagram represents the possible outcomes when Tom flips the double-sided counter (red or yellow) and rolls a fair 6-sided dice.
Each outcome is denoted by the color of the counter and the number rolled on the dice.
Here's the completed sample space diagram based on the given information:
1 2 3 4 5 6
Red R1 R2 R3 R4 R5 R6
Yellow Y1 Y2 Y3 Y4 Y5 Y6
To find the probability that the dice lands on an odd number and the counter lands on red, let's identify the favorable outcomes:
The red counter outcomes when the dice rolls an odd number are: R1, R3, R5.
The total number of outcomes where the dice lands on an odd number is 3 (3 odd numbers: 1, 3, 5).
Therefore, the probability that the dice lands on an odd number and the counter lands on red is:
Probability=Number of favorable outcomes/Total number of outcomes
= 3/6 = 1/2
So, the probability is 1/2 or 0.5.