Probability Calculations

1) Two cards are drawn from an ordinary deck of 52 cards
find the probability of each event showing your reasoning carefully

a. two aces

b. two red cards

c. two red aces

d. two honor cards (A, K, Q, J, 10).

2) A certain airplane has two independent alternators to
provide electrical power the probability that a given alternator will fail on a
1-hour flight is .02. what is the probability that

a. both will fail?

b. neither will fail

c. one or the other will fail? show all steps carefully

3) A die is thrown (1,2,3,4, 5, 6,) and a coin is tossed (H,
T)

a. enumerate the elementary events in the sample space for
the die/coin combination

b. are the elementary events equally likely? explain

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