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# Two dice are thrown simultaneously. What is the probability of getting

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Intern
Joined: 24 Jul 2017
Posts: 8
Location: India
Schools: Copenhagen (A)
GMAT 1: 630 Q42 V34
GPA: 2.8
Two dice are thrown simultaneously. What is the probability of getting  [#permalink]

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27 Jan 2018, 06:39
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Difficulty:

45% (medium)

Question Stats:

50% (01:09) correct 50% (01:13) wrong based on 39 sessions

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Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A) [1/2]

B) [3/4]

C) [3/8]

D) [5/16]

E) [5/6]
Math Expert
Joined: 02 Aug 2009
Posts: 7212
Two dice are thrown simultaneously. What is the probability of getting  [#permalink]

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27 Jan 2018, 06:55
sxsd wrote:
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A) [1/2]

B) [3/4]

C) [3/8]

D) [5/16]

E) [5/6]

Easier way is to find ways of ODD product..
each dice can show 1,3 or 5..
so ways of getting ODD product= $$3*3=9$$
Total ways to choose two numbers= $$6*6=36$$

ways of picking numbers such that product is even = 36-9=27

probability of picking even product = $$\frac{27}{36}=\frac{3}{4}$$
B

OR second way..

ways of getting even product..

1)first dice even number - 2,4 or 6- 3 ways
for these three even numbers, second dice can be any of 6 numbers - 6 ways
total ways = 3*6=18

2) first dice odd number = 1,3, or 5 -- 3 ways
for these three odd numbers, second dice has to throw even numbers so 2,4,6 - 3 ways
total 3*3 = 9 ways

total ways = 18+9=27
total ways of picking any two numbers = 6*6=36

prob = 27/36=3/4
B
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Re: Two dice are thrown simultaneously. What is the probability of getting  [#permalink]

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28 Jan 2018, 11:19
1
sxsd wrote:
Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even?

A) [1/2]

B) [3/4]

C) [3/8]

D) [5/16]

E) [5/6]

Probability of both dice to be odd is = 3/6 * 3/6
= 1/4
So probability of even = 1- probability of odd
= 1-1/4
= 3/4

Sent from my BND-AL10 using GMAT Club Forum mobile app
Re: Two dice are thrown simultaneously. What is the probability of getting &nbs [#permalink] 28 Jan 2018, 11:19
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