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

##### This topic has expert replies
Moderator
Posts: 6689
Joined: 07 Sep 2017
Followed by:21 members

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

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

00:00

A

B

C

D

E

## Global Stats

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

### GMAT/MBA Expert

GMAT Instructor
Posts: 16118
Joined: 08 Dec 2008
Location: Vancouver, BC
Thanked: 5254 times
Followed by:1268 members
GMAT Score:770

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

by [email protected] » 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
Brent Hanneson - Creator of GMATPrepNow.com

• Page 1 of 1