Question

Two dice are thrown simultaneously. what is the probability of getting two numbers whose product is even? select one:

a. 1/2

b. 5/16

c. 3/8

d. 3/4

Answer 1

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нєяє ιѕ уσυя αиѕωєя fσя уσυя qυєѕтισи;)

уσυя qυєѕтισи:

Two dice are thrown simultaneously. what is the probability of getting two numbers whose product is even? select one:

a. 1/2

b. 5/16

c. 3/8

d. 3/4

αиѕωєя;

Given;
In a simultaneous throw of two dice, we have n² = (6 x 6) = 36.

Then, E... We get is
Favorable outcomes:

{(1, 2), (1, 4), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 2), (3, 4),
     (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 2), (5, 4), (5, 6), (6, 1),
     (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

No.Of favorable outcomes= 27
No.Of possible outcomes = 36


Probability = no.Of favorable outcomes /no.of possible outcomes

P(E) = 27/36

P(E) = ¾

Therefore the option is d......

_________________________


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Answer 2

Answer:

Total Number of outcomes when 2 dices are thrown = 6 × 6 = 36

Possible Outcomes are (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

Outcomes of which product is even :

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

There are 27 possible outcomes for which product is even

So Probabilty = $\frac{27}{36} = \frac{3}{4}$