12 grade maths others

If two events are independent then
(a) They must be mutually exclusive
(b) Sum of their probabilities must be equal to 1
(c) (a) and (b) are both correct
(d) None of the above is correct

Aniket Singh

9 Months agoGrade

1 Answer

Askiitians Tutor Team

Approved Tutor Answer9 Months ago

To determine the relationship between independent events, let's clarify what independence means. Two events are independent if the occurrence of one does not affect the occurrence of the other.

Understanding the Options

(a) They must be mutually exclusive: This is incorrect. Mutually exclusive events cannot happen at the same time, while independent events can.
(b) Sum of their probabilities must be equal to 1: This is also incorrect. The probabilities of independent events do not have to add up to 1.
(c) (a) and (b) are both correct: Since both (a) and (b) are incorrect, this option is also incorrect.
(d) None of the above is correct: This is the correct answer, as neither (a) nor (b) holds true for independent events.

The Correct Answer

The right choice is (d) None of the above is correct. Independent events can occur together, and their probabilities do not need to sum to one.

Using first principle, find the derivative of loge x where x ∈ (0, ∞).

Grade 1212 grade maths others

1 Answer Available

Last Activity: 9 Months ago

Find the rank of the matrix A = ⎡ 2 3 7 ⎤
⎣ -2 4 1 ⎦
⎢ -3 -1 ⎥ by reducing into echelon form.

Grade 1212 grade maths others

1 Answer Available

Last Activity: 9 Months ago

For x∈(−1,1)], the number of solutions of the equation arcsin x = 2 arctan is equal to ____.

Grade 1212 grade maths others

1 Answer Available

Last Activity: 9 Months ago

Prove the following: cosA + sinA cosA - sinA - cosA - sinA cosA + sinA = 2 tan 2A

Grade 1212 grade maths others

1 Answer Available

Last Activity: 9 Months ago

Which of the following is a null set:

A {0}

B {x: x > 0 or x < 0}

C {x: x² = 4 or x = 3}

D {x: x² + 1 = 0, x ∈ R}

Grade 1212 grade maths others

1 Answer Available

Last Activity: 9 Months ago

View all Questions

If two events are independent then(a) They must be mutually exclusive(b) Sum of their probabilities must be equal to 1(c) (a) and (b) are both correct(d) None of the above is correct

Aniket Singh

1 Answer

Askiitians Tutor Team

Understanding the Options

The Correct Answer

Other Related Questions on 12 grade maths others

Using first principle, find the derivative of loge x where x ∈ (0, ∞).

Find the rank of the matrix A = ⎡ 2 3 7 ⎤ ⎣ -2 4 1 ⎦ ⎢ -3 -1 ⎥ by reducing into echelon form.

For x∈(−1,1)], the number of solutions of the equation arcsin x = 2 arctan is equal to ____.

Prove the following: cosA + sinA cosA - sinA - cosA - sinA cosA + sinA = 2 tan 2A

Which of the following is a null set: A {0} B {x: x > 0 or x < 0} C {x: x² = 4 or x = 3} D {x: x² + 1 = 0, x ∈ R}

If two events are independent then
(a) They must be mutually exclusive
(b) Sum of their probabilities must be equal to 1
(c) (a) and (b) are both correct
(d) None of the above is correct

Find the rank of the matrix A = ⎡ 2 3 7 ⎤
⎣ -2 4 1 ⎦
⎢ -3 -1 ⎥ by reducing into echelon form.

Which of the following is a null set:

A {0}

B {x: x > 0 or x < 0}

C {x: x² = 4 or x = 3}

D {x: x² + 1 = 0, x ∈ R}