Cards are dealt from a well-shuffled standard deck until thefirst heart appears.
ID: 2954839 • Letter: C
Question
Cards are dealt from a well-shuffled standard deck until thefirst heart appears. a) What is the probability that exactly 5 deals arerequired? b) What is the probability that 5 or fewer deals arerequired? c) What is the probability that exactly 3 deals were required,given that 5 or fewer were required? Cards are dealt from a well-shuffled standard deck until thefirst heart appears. a) What is the probability that exactly 5 deals arerequired? b) What is the probability that 5 or fewer deals arerequired? c) What is the probability that exactly 3 deals were required,given that 5 or fewer were required?Explanation / Answer
a) (39/52) * (38/51) * (37/50) * (36/49) * (13/48) = 0.08 b) 1 - ( 39/52 * 38/51 * 37/50 * 36/49 * 35/48) = 0.778 c)0 .1453/0.776 = .187