Toss a coin three times. Let H; be the event of getting a head and T₁ of getting a tail at ith time for i=1,2,3. Which of the following events is the event of getting at least one head in the three tosses. O T₁ n T₂ n T3 О H1 п H2 П Н3 O T₁ U T₂ U T3 H₁ U H₂ U H3 O H₁ U H₂ H3 Submit Answer Tries 0/3 The complement of getting at least one head is O Getting all the tails O Getting at least one tail H1 П Н2 П Н3 O T₁ U T₂ U T3 O Getting all the heads Submit Answer Tries 0/3 Answer True or False to the following statements H₁ and H₂ are mutually exclusive H₁ and T₂ are mutually exclusive T₁ U T₂ and T3 are not mutually exclusive T₁ and H₂ are mutually exclusive T₁ and H₂ are mutually exclusive Submit Answer Tries 0/3 A and B are two events. Answer True or False to the following statements (There could be more than 1 correct statements) ✓A is a subset of AB A is a subset of A U B AB is a subset of A U B AUB is a subset of An B A B is a subset of A

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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Toss a coin three times. Let H₁ be the event of getting a head and T¡ of getting a tail at ith time for i=1,2,3.
Which of the following events is the event of getting at least one head in the three tosses.
T₂ T3
T₁
O H₁ H₂
H3
T₁ U T₂ U T3
H₁ U H₂ U H3
O H₁ U H₂ H3
Submit Answer Tries 0/3
The complement of getting at least one head is
Getting all the tails
Getting at least one tail
Н1 П Н2 П Н3
T₁ U T₂ U T3
Getting all the heads
Submit Answer Tries 0/3
Answer True or False to the following statements
✓ H₁ and H₂ are mutually exclusive
H₁ and T₂ are mutually exclusive
|T₁ U T₂ and T3 are not mutually exclusive
T₁ and H₂ are mutually exclusive
✓ T1₁ and H₂ are mutually exclusive
Submit Answer Tries 0/3
A and B are two events. Answer True or False to the following statements (There could be more than 1 correct statements)
✓A is a subset of AB
✓A is a subset of A U B
✓AB is a subset of A U B
AUB is a subset of AB
A B is a subset of A
Transcribed Image Text:Toss a coin three times. Let H₁ be the event of getting a head and T¡ of getting a tail at ith time for i=1,2,3. Which of the following events is the event of getting at least one head in the three tosses. T₂ T3 T₁ O H₁ H₂ H3 T₁ U T₂ U T3 H₁ U H₂ U H3 O H₁ U H₂ H3 Submit Answer Tries 0/3 The complement of getting at least one head is Getting all the tails Getting at least one tail Н1 П Н2 П Н3 T₁ U T₂ U T3 Getting all the heads Submit Answer Tries 0/3 Answer True or False to the following statements ✓ H₁ and H₂ are mutually exclusive H₁ and T₂ are mutually exclusive |T₁ U T₂ and T3 are not mutually exclusive T₁ and H₂ are mutually exclusive ✓ T1₁ and H₂ are mutually exclusive Submit Answer Tries 0/3 A and B are two events. Answer True or False to the following statements (There could be more than 1 correct statements) ✓A is a subset of AB ✓A is a subset of A U B ✓AB is a subset of A U B AUB is a subset of AB A B is a subset of A
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