Answer:
P_exp(blue and heads) = 20%
P_the(blue and heads) = 16.67%
P_exp(yellow and tails) = 15%
P_the(yellow and tails) = 16.67%
Step-by-step explanation:
To find the experimental probability of drawing a blue block and flipping heads, we need to check in the table the cases where this occurs.
The cases are: 5, 6, 10 and 17
So there are 4 cases in a total of 20 cases, then the probability is 4/20 = 0.2 = 20%
The theoretical probability is the probability of having a blue block among the 3 blocks, and having a heads in the coin. The first one is 1/3 and the second is 1/2, so the probability is (1/3)*(1/2) = 1/6 = 0.1667 = 16.67%
The experimental probability of drawing the yellow block and flipping tails occurs at 3, 7, and 9 (3 cases), so the probability is 3/20 = 0.15 = 15%
The theoretical probability of drawing the yellow block and flipping tails is (1/3) * (1/2) = 1/6 = 0.1667 = 16.67%
