If one card is randomly picked from a standard deck of 52 cards, the probability that the card will be a number from 2 through 10, or a heart, or both, is

Question

Matthew

Mathematics

14 January, 14:01

If one card is randomly picked from a standard deck of 52 cards, the probability that the card will be a number from 2 through 10, or a heart, or both, is

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Damon Lane · Answer 1

There are 9 cards between 2 and 10 (2 3 4 5 6 7 8 9 10)

There are 4 suits, so the total number is 36

Now it can be a heart so that adds 4 more (A J Q K)

The total number is now 40 (I'm taking it to mean I have all the possibilities. The or both is taken care of).

40/52 = 10/13 which is pretty good odds.