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Can someone please help???

Can someone please help???-example-1
User Jwdonahue
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1 Answer

4 votes

Answer:

Option A

Explanation:

We assume that after the first player and second player choose a card they do not return the card to the deck and that the events are mutually exclusive (ie, you can not get a queen and jack by selecting a single card).

It can be seen in the figure that there are 52 cards in the deck. It can be seen that there are 4 queens and 4 jacks.

Thus:

If the first player selected a jack, then there are only 3 jacks left in the deck, and 51 cards in total.

If the second player selected a queen, then there are only 3 queens left in the deck and 50 cards in total.

Therefore, the probability Pj that the third player selects a Jack

is
P_(j) = (3)/(50)

Then, the probability Pq that the third player selects a queen

is
P_(q) = (3)/(50)

Finally the probability of selecting a jack or queen is:

P(j ∪ q) =
P_(j) + P_(q)

P(j ∪ q) =
(3)/(50) + (3)/(50)

P(j ∪ q) =
(3)/(25).

The correct answer is the first option.

User Nithinbemitk
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