Question

A coin is tossed, and a die is rolled. What is the probability that the outcome is a head or an even number?

Answer 1

Answer: When a coin is tossed and a die is rolled the probability of getting a head or an even number is = 3/4

Step-by-step explanation:

probability : The ratio of the favorable outcome to the total outcomes is gives the probability.

• So for the given case all possible outcomes are = 12

        (1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)

• total no of outcomes when there is head on coin are = 6

        (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

• Total no of outcomes when there is even on dice are =  3

       (2,T),(4,T),(6,T)

• So the total number of favorable outcomes are:

        6+3 = 9

• Total outcomes = 12

Therefore the probability is given by 9/12 = 3/4

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Answer 2

Answer: The probability of getting a head or an even number is = 3/4

What is probability?

• It is the measure of how likely an event or outcome is.
• Different events have different probabilities!

For the given case:

• Possible outcomes are

  (1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)

      So, no. of possible outcomes 12

• No. of coin outcomes (when it's head) = 6

           (1,H),(2,H),(3,H),(4,H),(5,H),(6,H)

• No of dice outcomes (when it's even) =  3

            (2,T),(4,T),(6,T)

So the total number of favourable outcomes are:

       6+3 = 9

Total outcomes = 12

Probability = $\frac{No. of favorable outcomes}{total outcomes}$

Probability for this case is =  $\frac{9}{12} =\frac{3}{4}$

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