Answer:
First we need to calculate how many buttons there are. There are 10 buttons. So the probability of getting a blue one is 3/10 for 3 buttons. So that means that the answer to the first one is 30%. So if we get that neither is red we know that the probability of getting a red one is 5/10. So there is a 50% chance of getting a red button and 50% of not. Then we multiply them 5/10*5/10 for 2 times. we get 25/100 aka 25%. So the answer to this question is 25%.