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MAT 120 101 Fall 2018 Homework: 3.3 Homework Score: 0 of 1 pt 10 of 18 (10 compl

ID: 3072123 • Letter: M

Question

MAT 120 101 Fall 2018 Homework: 3.3 Homework Score: 0 of 1 pt 10 of 18 (10 complete) x3.3.17 A standard deck of cards contains 52 cards. One card is selected from the deck (a) Compute the probability of randomly selecting a three or ace. (b) Compute the probability of randomly selecting a three or ace or eight. (c) Compute the probability of randomly selecting a six or spade. a. Pithree or ace)Round to three decimal places as needed ) Enter your answer in the answer box and then click Check Answer Clear Al remaining ip

Explanation / Answer

Given that, a standard deck of cards contains 52 cards. One card is selected from the deck.

We want to find the following probabilities,

a)

P(three or ace)

= P(three) + P(ace)

= (4/52) + (4/52)

= 8/52

= 0.1538

P(three or ace) = 0.154

b)

P(three or ace or eight)

= P(three) + P(ace) + P(eight)

= (4/52) + (4/52) + (4/52)

= 12/52

= 0.2308

P(three or ace or eight) = 0.231

c)

P(six or spade)

= P(six) + P(spade) - P(six and spade)

= (4/52)+ (13/52) - (1/52)

= 16/52

= 0.3077

P(six or spade) = 0.308