If a coin and an unbiased die are tossed together, what is the probability of
obtaining a tail and a number greater than 3?

A. 0.25
B. 0.33
C. 0.35
D. 0.50
E. 0.75

A. 0.25

Workings:

  1. For a coin toss: Probability of getting a tail = 1/2
  2. For an unbiased die: Numbers greater than 3 are 4, 5, and 6 Probability of getting a number greater than 3 = 3/6 = 1/2
  3. The probability of both events occurring together is the product of their individual probabilities: P(tail and number > 3) = P(tail) × P(number > 3) = 1/2 × 1/2 = 1/4 = 0.25

Therefore, the probability of obtaining a tail and a number greater than 3 when tossing a coin and an unbiased die together is 0.25.

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