Please answer using proper notation and 4 decimal places. Conditional Probabilit
ID: 3202154 • Letter: P
Question
Please answer using proper notation and 4 decimal places.
Conditional Probability Conditioning on cards. Draw one card from a shuffled deck of 52 cards. What is the probability that the card is a spade if you know the card is a 7? What is the probability that the card is a spade if you know the card is black? What is the probability that the card is a 7 if you know the card is a spade? What is the probability that the card is a 7 if you know the card is black? What is the probability that the card is black if you know the card is a spade? What is the probability the card is black if you know the card is a 7?Explanation / Answer
a) as there are four 7 in a deck of cards one of which is of spade.
hence probability =1/4=0.25
b)cause the black color is assigned to only club and spade.
hence probabilty of that =1/2 =0.5
c)as there are 13 cards of spade in a deck. hence probability of 7 =1/13 =0.0769
d)as there are two 7 of black color, hence probability =1/2=0.5
e)as spade is of black color hence probability =1
f)as there are two black out of four 7.
hence probability =2/4 =0.5