Mason randomly chooses a card from a standard deck of playing cards. What is the

Question

Mason randomly chooses a card from a standard deck of playing cards. What is the probability that it is an Ace, given that it is a red card? What is the probability that the spinner to the right lands on an odd number, given that it lands on a white space? Of the 318 sophomores, 140 taking Algebra 2 and 102 are taking Chemistry, Twenty-six of those taking Algebra 2 are also taking Chemistry. If a sophomore is chosen at random, find the probability that they are taking Algebra 2, given that they are taking Chemistry.

Explanation / Answer

1. P(red card)=26/52=1/2

P(ace and red card)= 2/52=1/26

P(Ace given that it is a red card= (1/26)/(1/2)=1/13

2. P(white space)=8/16=1/2

P(odd and white space)= 3/16

so answer is (3/16)/(1/2)=3/8

3. P(taking chemistry)= 102/318

P(taking algebra and chemistry)=26/318

Amswer is 26/102

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