Question

Dan used a probability simulator to roll a 6-sided number cube and flip a coin 100 times. The results are shown in the tables below:


Number on the Cube Number of Times Rolled
1 19
2 26
3 13
4 23
5 8
6 11


Heads Tails
48 52


Using Dan's simulation, what is the probability of rolling a 4 on the number cube and the coin landing heads up?

Answer 1

The experimental probability of rolling a four is 23/100. The experimental probability of heads is 48/100. The events 'roll a four' and 'heads up' are independent, therefore
\[\large P(4 \cap heads)=\frac{23}{100}\times\frac{48}{100}\]