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nirvana33 [79]
3 years ago
7

An experiment consists of drawing one card from a bridge deck. The sample space contains 52 outcomes, one for each of the 52 car

ds. Suppose we assign a probability of 1 52 to each of the cards. Find the probability that the following happens. (a) A queen is drawn. (b) The card drawn is a king or a queen. (c) The card drawn is a heart. (d) The card drawn is a red card.
Mathematics
1 answer:
irina [24]3 years ago
8 0

Answer: a) \dfrac{1}{13}

b)\dfrac{2}{13}

c) \dfrac{1}{4}

d) \dfrac{1}{2}

Step-by-step explanation:

Formula for probability =\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}

The total number of cards in a deck = 52

a) Number of cards having queen =4

Then the probability that a queen is drawn =\dfrac{\text{No. of cards having queen}}{\text{Total cards}}

=\dfrac{4}{52}=\dfrac{1}{13}

c) Number of cards having King= 4

Then , the number of cards having a queen or king =4+4=8

Then the probability that a king or queen is drawn =\dfrac{\text{No. of cards having king or a queen}}{\text{Total cards}}

=\dfrac{8}{52}=\dfrac{2}{13}

c) Number of cards having heart = 13

Then the probability that a heart is drawn =\dfrac{\text{No. of cards having heart}}{\text{Total cards}}

=\dfrac{13}{52}=\dfrac{1}{4}

d) Number of red cards = 26

Then the probability that a red card is drawn =\dfrac{\text{No. of red cards}}{\text{Total cards}}

=\dfrac{26}{52}=\dfrac{1}{2}

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