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Formulas: Conditional Probability for Two-Independent Event P(B|A) = P(B) P(A|B) = P(A) Jack takes a survey of his class to determine if having black hair is independent of wearing a watch. There are 28 students in the class. Brown hair is independent of wearing a watch because P(W|BH) = P(W). He draws a Venn diagram, as shown below, to represent the information he has gathered. In his diagram BH represents the students that have black hair and W represents the students that are wearing a watch. Brown hair is independent of wearing a watch because P(W|BH) is not equal to P(W). Brown hair is NOT independent of wearing a watch because P(W|BH) is not equal to P(W). Is having black hair independent of wearing a watch? Brown hair is NOT independent of wearing a watch because P(W|BH) = P(W). John takes a survey of his class to determine if having big handsis independent of wearing a ring. There are 21 students in the class. He draws a Venn diagram, as shown below, to represent the information he has gathered. In his diagram BH represents the students that have big hands and R represents the students that are wearing a ring. Big Hand is NOT independent of wearing a ring because P(R|BH) is not equal to P(R). Is having big hands independent of wearing a ring? Big Hand is NOT independent of wearing a ring because P(R|BH) = P(R). Big Hand is independent of wearing a ring because P(R|BH) is not equal to P(R). Big Hand is independent of wearing a ring because P(R|BH) = P(R). Jose Carlos takes a survey of his class to determine if having brown hairis independent of wearing a watch. There are 20 students in the class. Is having a brown hair is independent of wearing a watch? NOTE: CHOOSE YOUR ANSWER BELOW, THEN TYPE IT ON THE BLANK. Brown hair is independent of wearing a watch because P(W|BH) is not equal to P(W). Brown hair is NOT independent of wearing a watch because P(W|BH) is not equal to P(W). Brown hair is NOT independent of wearing a watch because P(W|BH) = P(W). He draws a Venn diagram, as shown below, to represent the information he has gathered. In his diagram BH represents the students that have brown hair and W represents the students that are wearing a watch. Brown hair is independent of wearing a watch because P(W|BH) = P(W). Christian takes a survey of his class to determine if having brown shirtis independent of wearing a ring. There are 20 students in the class. Is having a brown shirt is independent of wearing a ring? NOTE: CHOOSE YOUR ANSWER BELOW, THEN TYPE IT ON THE BLANK. He draws a Venn diagram, as shown below, to represent the information he has gathered. In his diagram BS represents the students that have brown shirt and R represents the students that are wearing a ring. |