You spin the spinner and flip a coin. Find the probability of the compound event.
1 answer:
Answer:
The probability of spinning an even number and flipping heads is 1/4
Step-by-step explanation:
You spin the spinner and flip a coin.
A spinner that has 1 of each number, 1-6
Total events =12
(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
(1,T),(2,T),(3,T),(4,T),(5,T),(6,T)
We are supposed to find probability of spinning an even number and flipping heads
Favorable events : (2,H),(4,H)(6,H) = 3
Total events = 12
The probability of spinning an even number and flipping heads =
Hence The probability of spinning an even number and flipping heads is 1/4
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Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that
50% of rainy days start with rain clouds in the air
50% of 10%. So
What is the probability that it will rain today and ruin your picnic
0.25 = 25% probability that it will rain today and ruin your picnic
Given:
The sequence is
1, 4, 16, 64
To find:
The general term of the given sequence.
Solution:
We have, the sequence
1, 4, 16, 64
Here, the ratio between two consecutive terms is same. So, it is a geometric sequence.
First term is:
Common ratio is:
The nth term of a geometric sequence is
...(i)
Where, a is the first term and r is the common ratio.
Putting a=1 and r=4 in (i), we get
Therefore, the general term of the given sequence is .
Answer:
40%
Step-by-step explanation:
Degree representing students who prefer burgers = 144°
Percentage of students who like burger =
Percentage of students who offered burger = 40%