In a deck of cards, Kings, Queens and Jacks are called the face cards. If 4 cards are randomly chosen together, what is the probability that at least one of the cards is a face card? [Composition of a standard 52-card deck] 2. Suppose, 10 students have been selected for the prestigious Sir Abed Scholarship for their excellent performances in extracurricular activities and academic results. Let’s say, there are 4 types of award: A (100% +), B (100%), C (97%) and D (95%) . Also, a student has an equal chance of getting any of these 4 scholarships. What is the probability that exactly 4 of the 10 students get A and 3 students get C? 3. Suppose, you are attending an exam where there are 9 multiple choice questions with 3 options in each. A question can have multiple correct answers, and in that case, you have to check all of the correct answers to get the question right. a. What is the probability that you’ll get exactly 6 of the questions right? b. What is the probability that you’ll get at most 6 of the questions right? 4. What is the maximum number of people in a gathering such that the probability of two people having the same birthday doesn’t exceed 60%?
In a deck of cards, Kings, Queens and Jacks are called the face cards. If 4 cards are
randomly chosen together, what is the
card? [Composition of a standard 52-card deck]
2. Suppose, 10 students have been selected for the prestigious Sir Abed Scholarship for
their excellent performances in extracurricular activities and academic results. Let’s say,
there are 4 types of award: A (100% +), B (100%), C (97%) and D (95%) . Also, a
student has an equal chance of getting any of these 4 scholarships. What is the
probability that exactly 4 of the 10 students get A and 3 students get C?
3. Suppose, you are attending an exam where there are 9 multiple choice questions with 3
options in each. A question can have multiple correct answers, and in that case, you
have to check all of the correct answers to get the question right.
a. What is the probability that you’ll get exactly 6 of the questions right?
b. What is the probability that you’ll get at most 6 of the questions right?
4. What is the maximum number of people in a gathering such that the probability of two
people having the same birthday doesn’t exceed 60%?
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