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show questionsGiven a standard deck of cards. Find the probability of drawing a 4 or a vucem.a) Are these mutually exclusive events? Explain.Find the probability of drawing a 4 or a Queen. Show your work!

User Zifius
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Recall that a deck of cards consists of 52 total cards. There are four "4" cards, and there are 4 Queen cards.

Part a)

These are mutually exclusive events because drawing a 4 is quite different from drawing a queen.

Part b)

find the probability of drawing a 4 OR a queen.

Since these are mutually exclusive events, their probabilities will ADD:

P (A or B) = P(A) + P(B)

in our case if we call A the event of drawing a "4", we get 4/52

the probability of drawing a queen would also be 4/52

Then, the probabiliti of drawing a 4 or drawing a queen would be:

4/52 + 4/52 = 8/52 = 2/13

Many teachers want the probability in poercent form, so for that we need to actually perform the division and write the percent:

2 / 13 = 0.153846...

so in percent form and rounded to two decimals, this becomes:

15.38%

User Sgoettschkes
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