When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Sun Jun 12, 2022 5:45 am

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When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

A. 1/8
B. 1/4
C. 1/3
D. 3/8
E. 1/2

OA B

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Re: When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is

by Brent@GMATPrepNow » Mon Jun 13, 2022 5:38 am

BTGmoderatorDC wrote: ↑
Sun Jun 12, 2022 5:45 am
When tossed, a certain coin has equal probability of landing on either side. If the coin is tossed 3 times, what is the probability that it will land on the same side each time?

A. 1/8
B. 1/4
C. 1/3
D. 3/8
E. 1/2

OA B

Source: GMAT Prep

P(3 matching tosses) = P(ANY result on 1st toss AND 2nd toss matches 1st toss AND 3rd toss matches 2nd toss)
= P(ANY result on 1st toss) x P(2nd toss matches 1st toss ) x P(3rd toss matches 2nd toss)
= 1 x 1/2 x 1/2
= 1/4
= B

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