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Question: Answered & Verified by Expert
A fair coin is tossed and an unbiased dice is rolled together. What is the probability of getting a 2 or 4 or 6 along with head?
MathematicsProbabilityNDANDA 2019 (Phase 1)
Options:
  • A $\frac{1}{2}$
  • B $\frac{1}{3}$
  • C $\frac{1}{4}$
  • D $\frac{1}{6}$
Solution:
1663 Upvotes Verified Answer
The correct answer is: $\frac{1}{4}$
Total number of events with dice and coin $=6 \times 2=12$ Number of possibilities $=(2, \mathrm{H}),(4, \mathrm{H})$ and $(6, \mathrm{H})$ i.e., 3
$\therefore$ Probability $=\frac{3}{12}=\frac{1}{4}$

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