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3 years ago

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A person in a casino decides to play 3 games of blackjack. let w denote a win and l denote a loss. define the event a as "the pe

rson wins at least one game of blackjack". what are the possible outcomes for this event?

1 answer:

Ann [662]3 years ago

5 0

Answer: The answer is {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

Step-by-step explanation: Given that a person in the casino is going to play 3 games of blackjack. Here, 'w' denotes a win and 'l' denotes a loss.

Also, let 'A' be the event that the person wins at least one game of blackjack. Then, the outcomes of Event 'A' are

(i) win in 1st game loss in 2nd game loss in 3rd game

(ii) win in 1st game win in 2nd game loss in 3rd game

(iii) win in 1st game loss in 2nd game win in 3rd game

(iv) win in 1st game win in 2nd game win in 3rd game

(v) loss in 1st game loss in 2nd game win in 3rd game

(vi) loss in 1st game win in 2nd game loss in 3rd game

(vii) loss in 1st game win in 2nd game win in 3rd game

Thus, the outcomes of the event A are (w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l) and (l, w, w).

Thus, A = {(w, l, l), (w, w, l), (w, l, w), (w, w, w), (l, l, w), (l, w, l), (l, w, w)}.

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