(3 pts) A deck consists of cards with 9lsuits labelled Alto Iland numbered ranks
ID: 3170451 • Letter: #
Question
(3 pts) A deck consists of cards with 9lsuits labelled Alto Iland numbered ranks from 1 to 7L Each card is equally likely to be drawn. Suits Alto Elare red. Suits FI to I are blue. A card is drawn at random from this deck. What is the probability of it being suit Ah What is the probability of it being suit Algiven that it is red? what is the probability of it being suit Algiven that it is blue? what is the probability of it being suit Algiven that it has rank 1 l what is the probability of it having a rank less than or equal to 2? what is the probability of it having a rank less than or equal to 2l given it has a red suit? what is the probability of it having a rank less than or equal to 2lgiven ithas a rank less than or equal to 5? what is the probability of it having a rank less than or equal to given it has a rank less than or equal to 2?1Explanation / Answer
1) probability of being suit A=1/9 ;as there are 9 suits
2) being suit A given red=1/5 'as 5 suits of red are there
3)being suit A, given blue=0 ; as A is red
4)being suit A, given rank 1=1/7 ' 7 cards of rank 1,one of them belongs to A
5) probability of having rank less then or euqal to 1=2/7
6)probability of rank less then or equal to 2, given red suit =2/7
7)haviong a rank less then orr equal to 2, given rank less then or equal to 5=2/5
8)rank less then or equal to 5| given rank less then or or equal to 2=1
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