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Probability of events using a standard deck of playing cards

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1. You possess a 'standard deck of playing cards' (n = 52). First,

(a) identify the probability of selecting a spade, club, or heart. Second,
(b) calculate the probability of selecting a spade, heart, diamond, or face card. Identify
(c) the probability of selecting (in sequence) a two and a red jack (assuming that the first card was replaced), and
(d) the probability of selecting (in sequence) a heart and a red four (assuming that the first card was not replaced).

Still using one 'standard deck of playing cards' (n = 52), consider Event A [a club or a king] and Event B [a red card]. Calculate
(e) the probability of Event A. Next,
(f) identify the probability of Event B, and
(g) calculate the probability of Event A or Event B. Now,
(h) identify the probability of Event A, given that Event B occurred, i.e., P(A|B). Finally,
(i) using two separate 'standard decks of playing cards,' compute the probability of Event A occurring in the first deck and Event B occurring in the second deck.

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Solution Summary

The probability of events using a standard deck of playing cards is determined. Step by step solutions to all the problems is provided.

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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