GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
On the planned day of a picnic, there is a 30% chance of rain. If it r
[#permalink]
22 Mar 2022, 02:00
22 Mar 2022, 02:00
Expert Reply
00:00
Question Stats:
93% (00:58) correct
6% (02:08) wrong based on 16 sessions
Hide Show timer Statistics
On the planned day of a picnic, there is a 30% chance of rain. If it rains, there is a 50% chance that the picnic will be canceled, but if it doesn't rain, the picnic will take place. What is the chance that the picnic will take place?
A) 15%
B) 30%
C) 50%
D) 70%
E: 85%
A) 15%
B) 30%
C) 50%
D) 70%
E: 85%
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: On the planned day of a picnic, there is a 30% chance of rain. If it r
[#permalink]
22 Mar 2022, 09:13
22 Mar 2022, 09:13
1
Carcass wrote:
On the planned day of a picnic, there is a 30% chance of rain. If it rains, there is a 50% chance that the picnic will be canceled, but if it doesn't rain, the picnic will take place. What is the chance that the picnic will take place?
A) 15%
B) 30%
C) 50%
D) 70%
E: 85%
A) 15%
B) 30%
C) 50%
D) 70%
E: 85%
P(picnic takes place) = P(no rain AND the picnic takes place OR it rains AND the picnic takes place)
= [P(no rain) x P(the picnic takes place given that there was no rain)] + [P(rain) x P(the picnic takes place given that it rained)]
= [0.7 x 1] + [0.3 x 0.5]
= 0.7 + 0.15
= 0.85
= 85%
Answer: E
On the planned day of a picnic, there is a 30% chance of rain. If it r
[#permalink]
07 Aug 2022, 08:42
07 Aug 2022, 08:42
1
The probability of no rain = 70%, picnic will sure take place in this situation
the probability of rain and chance of picnic = 50% of 0.3
so together the probability of picnic is > 70%
the only option > 70% is E
the probability of rain and chance of picnic = 50% of 0.3
so together the probability of picnic is > 70%
the only option > 70% is E
