Question

For 2 independent exclusive events A and B, P(A) = 0.2 and P(not B) = 0.7. 1) What is P(A and B) ?

2) What is P(A or B) ? Assume just for this question that P(A and B) = 0. 3) What is P(not A and B) ?
4) What is P(A and not B) ?
5) What is P(not A and not B) ?

6)Ifyouhavecardsnumbered 1 2 3 4 5 thathavetobeputin5places

     ___________ ___________ ___________ ___________ ____________

and an odd numbered card must be placed on each end (cards are not replaced when used), how many arrangements are there for these cards? (Hint: use multiplication rule.)

P

7) If there are 3 red and 7 blue M&Ms in a bag of 10 M&Ms, what is the probability of selecting 2 reds and 1 blue without replacement ?

8) Answer Question 7 with replacement .
For Questions 9 to 12, you are using a regular deck of cards.

9) What is P([king or ace] and heart) ? 10) What is P(7 and diamond) ?
11) What is P(7 or diamond) ?
12) What is P(jack or 2 or 6) ?

Please use these height/weight category combinations for a group of children to answer Questions 13 to 15:

WEIGHT

abc A5 7 10

HEIGHTB8 11 13 C2 10 9

13) What is the probability that a child selected at random will have combination “Aa” ?

14) What is the probability that a child selected at random will be “a” if it is known that the height is “B” ?

15) What is the probability that a child selected at random will be “C” if it is known that the weight is “a” ?

16) If you have 20 CDs in your collection at home and you take 4 of them to listen to in your car, how many combinations of those 4 CDs can you make?

17) If 7 people have to fight for 5 remaining seats on a train, how many different permutations are there for these people?

If you are conducting a binomial experiment with p = 0.4 and n = 10:18) What is the mean AND standard deviation of successes?

19) What is P(x = 0)?

20) What is P(x = 1)?

21) What is P(x = 2)?

22) What is P(x ≤ 2)?

BONUS:

What values of P(x) would make this a valid discrete probability distribution?

x P(x) 1 0.6

23 0.1 4

Answer 1