A standard deck of cards contains 52 cards. One card is selected from the deck. (a) Compute the probability of randomly selecting a seven or jack. (b) Compute the probability of randomly selecting a seven or jack or two. (c) Compute the probability of randomly selecting a five or heart.

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A standard deck of cards contains 52 cards. One card is selected from the deck.
 
(a) Compute the probability of randomly selecting a seven or jack.
(b) Compute the probability of randomly selecting a seven or jack or two. 
(c) Compute the probability of randomly selecting a five or heart. 
Expert Solution
Step 1

A standard deck of playing cards consists of 52 cards in each of the 4 suits of Spades, Hearts, Diamonds, and Clubs.

Each of suit contain 13 cards Ace, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King.

a.

Compute the probability of randomly selecting a seven or jack

When a card is randomly selected = 152

Being a seven = 452

Being a Jack = 452

Being seven or Jack is = P(being a seven) +P(being a Jack)+P(being seven and Jack)

                                   = 452+452= 852 = 213= 0.1538

Thus, P(seven or jack) = 0.1538.

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