Mathematics Question #42 written explanation

Mathematics
Tutor: None Selected Time limit: 1 Day

Apr 8th, 2015

For each of the questions we need to determine the number of events and number of outcomes, or sample space, and then divide the event by the sample space.

For a) the event is draw a queen. There are four queens in a deck, so the number of events is 4. There are 52 possible outcomes, since there are 52 cards in a deck. Therefore the probability of choosing a queen is 4 out of 52, or 4/52, which is 7.69%. So the probability for question a is 7.69%.

For b) the event is draw a heart. There are 13 hearts in a deck, so the number of events is 13. There are 52 possible outcomes, since there are 52 cards in a deck. Therefore the probability of choosing a heart is 13 out of 52, or 13/52, which is 25%. This makes intuitive sense since there are an equal number of the four suits in a deck. So the probability for question b is 25%.

For c) the event is draw a face card. There are 12 face cards in a deck, since there are 4 kings, 4 queens, and 4 jacks. So the number of events is 12. There are 52 possible outcomes, since there are 52 cards in a deck. So the probability of choosing a face card out of a deck of cards is 12 out of 52, or 12/52, which is 23.08%. So the answer to question c is 23.08%.

Apr 8th, 2015

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