Question

A six-sided number cube is rolled twice. What is the probability that the first roll is an even number and the second roll is a number greater than 4? One-sixth One-third Two-thirds Five-sixths

Answer 1

Answer:

1/6

Step-by-step explanation:

Probability is a chance of an event taking place.

Probability = (favorable outcome)/(total outcome)

There are 3 even sides in a dice.

P(even) = 3/6

          = 1/2

There are 2 numbers that are greater than 4 in a dice.

P(x>4) = 2/6

         = 1/3

P(even and x>4) = 1/2 × 1/3 = 1/6

Answer 2

The correct answer is One - sixth

What is Probability ?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

How  to calculate the probability ?

• The probability of an event is 1
• Probability of an event can be calculated by Dividing the favorable outcomes  by total number of possible outcomes
• Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

How to solve this problem?

The probability that the first roll is an even number :

there are 3 even numbers in a dice so the favorable out comes are 3

and the total number of possible outcomes is 6

P(E) = 3/6 =1/2

hence , The probability that the first roll is an even number is 1/2

The second roll is number greater than 4  

There are 2 numbers greater than 4

Hence P(x>4) = 2/6 = 1/3

hence , The probability the second roll is number greater than 4  is 1/3

Now the probability that the first roll is an even number and the second roll is a number greater than 4

P(E and x>4) = 1/2 x 1/3 = 1/6

Hence , the probability is one-sixth  

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