Question

Two fair dice are rolled simultaneously. The probability that 5 will come up at least once is with full explanation ​

Answer 1

Answer:

11/36

Step-by-step explanation:

Total number of outcomes: 36

No. of outcomes where five will come at least once: 11

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Answer 2

Step-by-step explanation:

Given:Two fair dice are rolled simultaneously.

To find: The probability that 5 will come up at least once is ? with full explanation .

Solution:

We know that

Probability of an event P(E)= Favourable outcomes/ Total outcomes.

Step 1: Write total outcomes.

As there are six numbers marked on a dice.

1, 2, 3, 4, 5,6

When two dice are rolled simultaneously then total outcomes are 6²,i.e 36.

Total outcomes =36

Step 2: Find favourable outcomes for getting 5 at least once.

Here are the cases

(1,5), (5,1)

(2,5),(5,2)

(3,5),(5,3)

(4,5),(5,4)

(5,5)

(6,5),(5,6)

Total favourable cases are 11.

Step 3: Find probability of getting 5 at least once.

Let the probability of this event is P(E)

P(E)=11/36

Final answer:

The probability that 5 will come up at least once is 11/36.

Hope it helps you.

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