Binomial Prob-AFM-15-Dena

Bob is taking a 20 question test.  They have a 79 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 14  questions correctly?

• ₂₀C₁₄   ( 0.79  )¹⁴ ( 0.21  )⁶
• ₂₀C₁₅   ( 0.79  )¹⁴ ( 0.21  )⁶
• ₂₀C₁₄   ( 0.79  )¹⁴ ( 0.21  )⁸
• ₂₁C₁₄   ( 0.79  )¹⁴ ( 0.21  )⁶

Bob is taking a 15 question test.  They have a 50 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 10  questions correctly?

• ₁₅C₉   ( 0.50  )⁵ ( 0.50  )¹⁰
  
• ₂₀C₁₀   ( 0.50  )⁵ ( 0.50  )¹⁰
• ₁₅C₁₀   ( 0.50  )⁷ ( 0.50  )¹⁰
• ₁₅C₁₀   ( 0.40  )⁵ ( 0.50  )¹⁰

Bob is taking a 50 question test.  They have a 20 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 26  questions correctly?

• ₅₀C₂₆   ( 0.80  )²⁶ ( 0.20  )²⁵
• ₅₀C₂₅   ( 0.80  )²⁶ ( 0.20  )²⁵
• ₅₈C₂₅   ( 0.80  )²⁶ ( 0.20  )²⁵
• ₅₀C₂₅   ( 0.80  )²⁶ ( 0.20  )²²

Bob is taking a 100 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 70  questions correctly?

• ₁₀₀C₇₀   ( 0.18  )³⁰ ( 0.90  )⁷⁰
  
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁶⁰
• ₁₀₀C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰
• ₉₉C₇₀   ( 0.10  )³⁰ ( 0.90  )⁷⁰

Bob is taking a 30 question test.  They have a 60 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 29  questions correctly?

• ₃₀C₂₉   ( 0.40  )¹ ( 0.60  )³⁰
  
• ₃₀C₂₉   ( 0.40  )² ( 0.60  )²⁹
• ₃₀C₃₀   ( 0.40  )¹ ( 0.60  )²⁹
• ₃₀C₂₉   ( 0.40  )¹ ( 0.60  )²⁹

Bob is taking a 10 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 10  questions correctly?

• ₁₀C₁₀   ( 0.10  )⁰ ( 0.90  )¹⁰
  
• ₁₀C₁₀   ( 0.12  )⁰ ( 0.90  )¹⁰
• ₁₀C₁₆   ( 0.10  )⁰ ( 0.90  )¹⁰
• ₁₀C₁₀   ( 0.10  )¹ ( 0.90  )¹⁰

Bob is taking a 10 question test.  They have a 60 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 5  questions correctly?

• ₁₀C₅   ( 0.40  )⁵ ( 0.61  )⁵
  
• ₁₀C₅   ( 0.40  )⁵ ( 0.60  )⁵
• ₁₀C₅   ( 0.40  )⁵ ( 0.60  )¹⁰
• ₁₄C₅   ( 0.40  )⁵ ( 0.60  )⁵

Bob is taking a 6 question test.  They have a 90 % probability of getting any one question correct.  WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that they will answer EXACTLY 4  questions correctly?

• ₆C₄   ( 0.10  )² ( 0.90  )²
  
• ₆C₆   ( 0.10  )² ( 0.90  )⁴
• ₆C₄   ( 0.10  )² ( 0.90  )⁴
• ₆C₄   ( 0.18  )² ( 0.90  )⁴