Answer:
Step-by-step explanation:
The general formula for a probability is:
The favorable events for the cube to fall in a even number are:
2, 4, and 6 ⇒ <u>3 favorable events</u>
and in the cube the total events are:
1, 2, 3, 4, 5, 6 ⇒ <u>6 total events</u>
So the probability of rolling an even number in the cube is:
Now we do something similar to find the probability to choose a card with an even number.
The favorable events for an even numbered card are:
2, 4 ⇒<u> 2 favorable events</u>
and the total number of events in the cards is:
1, 2, 3, 4, 5 ⇒ <u>5 total events</u>
Thus, the probability to choose an even numbered card (according to the probability formula) is:
And finally, since we want both things to happen we must multiply both obtained probabilities:
- the probability that he will roll an even number and choose an even numbered card:
The probability is 1/5 which is equal to 0.2 or 20%