The probability of drawing two red balls from a jar at random without replacement is 310 . The probability of drawing a red ball first is 916 . What is the probability of drawing a second red ball, given that the first ball drawn was red?
Drawing a first red ball: A Drawing a second red ball: B
Probability of drawing two red balls: P(A ∩ B)=0.310 Probability of drawing a red ball first: P(A)=0.916 Probability of drawing a second red ball given that the first ball drawn was red: P(B\A)=?
P(B\A)=P(A ∩ B) P(A)→ P(B\A)=(0.310)(0.916)→ P(B\A)=0.28396→ P(B\A)=0.284
Answer: The probability of drawing a second red ball, given that the first ball drawn was red is 0.284
