help please

3. [4/8 Points] PREVIOUS ANSWERS SOWRECMATH3 27.2.013. ASK YOUR TEACHER PRACTICE ANOTHER (a) If P(E) is the probability of an event happening, we know that the probability of the event not happening is 1 P(E). Explain why this is so. The event not-E and the event E would involve all 8 J of the outcomes, so P(E) + P(not-E) must = 1 4 , or P(not-E) = 1 q P(E). (b) What is the probability of not drawing an ace from a deck of cards? 48/52 ./ (c) What is the probability of a thumbtack not landing with the point up when tossed? Base this on results from an experiment which showed the tack landed with the point up 30 out of 50 times when tossed. 1 X (d) What is the probability of not getting 2 heads on the toss of a penny and a nickel? (Be careful with this one. Hint: What is the sample space?) 1 X (e) What is the probability of not getting a 4 on the toss of one die? 1/4 x (f) You have a key ring with 7 keys, one of which is the key to your car. What is the probability that if you blindly choose 1 of the keys, it will not be the key to your car? (Assume each key is equally likely to be chosen.) 1 X