Question

m. p(green, then green) w. p(not red, then not red)
6 solve.
e. forty tickets are sold for a raffle with two prizes. you buy two tickets. what is the probability that you will win both prizes? h. two cards are drawn at random from a standard deck of 52 cards. what is the probability that both cards are aces?

Explanation:

Step1: Calculate winning first prize

$\frac{2}{40} = \frac{1}{20}$

Step2: Calculate winning second prize (after first win)

$\frac{1}{39}$

Step3: Multiply probabilities for both wins

$\frac{1}{20} \times \frac{1}{39} = \frac{1}{780}$

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Step1: Calculate first ace probability

$\frac{4}{52} = \frac{1}{13}$

Step2: Calculate second ace probability (after first ace)

$\frac{3}{51} = \frac{1}{17}$

Step3: Multiply probabilities for two aces

$\frac{1}{13} \times \frac{1}{17} = \frac{1}{221}$

Answer:

E. $\frac{1}{780}$
H. $\frac{1}{221}$