Question:
A fair six-sided die (with faces numbered 1, 2, 3, 4, 5, 6) is repeatedly thrown independently.
What is the expected number of times the die is thrown until two consecutive throws of even numbers are seen ?
A fair six-sided die (with faces numbered 1, 2, 3, 4, 5, 6) is repeatedly thrown independently.
What is the expected number of times the die is thrown until two consecutive throws of even numbers are seen ?
What is the expected number of times the die is thrown until two consecutive throws of even numbers are seen ?
Updated On: Feb 4, 2025
- 2
- 4
- 6
- 8
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C) : 6.
Was this answer helpful?
0
2
Top Questions on Probability
- If A and B are two events such that \( P(A \cap B) = 0.1 \), and \( P(A|B) \) and \( P(B|A) \) are the roots of the equation \( 12x^2 - 7x + 1 = 0 \), then the value of \( \frac{P(A \cup B)}{P(A \cap B)} \) is:
- JEE Main - 2025
- Mathematics
- Probability
- Two balls are selected at random one by one without replacement from a bag containing 4 white and 6 black balls. If the probability that the first selected ball is black, given that the second selected ball is also black, is \(\frac{m}{n}\), where gcd(m, n) = 1, then m + n is equal to:
- JEE Main - 2025
- Mathematics
- Probability
- A board has 16 squares as shown in the figure. Out of these 16 squares, two squares are chosen at random. The probability that they have no side in common is: \includegraphics[]{10.PNG}
- JEE Main - 2025
- Mathematics
- Probability
- A die with numbers 1 to 6 is biased such that \( P(2) = \frac{3}{10} \) and the probability of other numbers is equal. Find the mean of the number of times number 2 appears on the die, if the die is thrown twice.
- Three persons, Amber, Bonzi, and Comet, are manufacturing cars that run on petrol and battery. Their production share in the market is:
- Amber: 60%
- Bonzi: 30%
- Comet: 10%
- Amber: 20%
- Bonzi: 10%
- Comet: 5%
View More Questions
Questions Asked in GATE AR exam
- Which of the following methods is/are used in traffic survey to measure the Running Speed and Journey Speed?
- GATE AR - 2024
- Traffic survey methods, Traffic flow Analysis
- For the beam shown below, ignoring the self-weight, the maximum hogging moment (in kN·m) generated for the loads indicated is _______ (rounded off to one decimal place).
- GATE AR - 2024
- High Rise and Long Span structures, gravity and lateral load resisting systems
- Let f: R→ R be a function. Note: R denotes the set of real numbers.
\(f(x) = \left\{ \begin{array}{ll} -x, & \text{if } x < -2 \\ ax^2+bx+c, & \text{if }\ x \in[-2,2]\\ x, & \text{if } x>2 \end{array} \right.\)
Which ONE of the following choices gives the values of a, b, c that make the function f continuous and differentiable ?- GATE AR - 2024
- Differential Equations
- Consider the dataset with six datapoints : {(x1, y1), (x2, y2), ..., (x6, y6)}, where x1 = \(\begin{bmatrix} 1 \\ 0 \end{bmatrix}\), x2 = \(\begin{bmatrix} 0 \\ 1 \end{bmatrix}\), x3 = \(\begin{bmatrix} 0 \\ -1 \end{bmatrix}\), x4 = \(\begin{bmatrix} -1 \\ 0 \end{bmatrix}\), x5 = \(\begin{bmatrix} 2\\ 2 \end{bmatrix}\), x6 = \(\begin{bmatrix} -2 \\ -2 \end{bmatrix}\) and the labels are given by y1 = y2 = y5 = 1, and y3 = y4 = y6 = -1 .A hard margin linear support vector machine is trained on the above dataset. Which ONE of the following sets is a possible set of support vectors?
- GATE AR - 2024
- Database Concepts
- A ramp with a slope of 1 : 12 is required for wheelchair access. Intermediate landings of length 1.5 m each have to be provided after every 9 m running length. The running length of a straight ramp including landing, to negotiate a level difference of 900 mm vertical height, in m, is ( rounded off to two decimal places).
- GATE AR - 2024
- Urban renewal and conservation
View More Questions