flip a coin 3 times
a) what are the odds in favor of getting exactly 2 heads
b) what are the odds against getting at most 1 tail
a) 2/1
b) 2/1
I think this is right but you're gonna have to double check again
Hey, I already replied to this
H H H
H H T
H T H
H T T
T T T
T T H
T H T
T H H
NOW TRY
To calculate the odds, we need to find the total number of possible outcomes and the number of favorable outcomes.
a) To find the odds in favor of getting exactly 2 heads, we need to determine the total number of possible outcomes and the number of outcomes where exactly 2 heads appear.
Total number of possible outcomes: When flipping a coin three times, each flip has two possible outcomes (heads or tails). Since we have three flips, the total number of possible outcomes is 2^3, which equals 8.
Number of favorable outcomes: To get exactly 2 heads, we have to consider three scenarios: HHT, HTH, and THH, where H represents heads and T represents tails. So, there are 3 favorable outcomes.
Therefore, the odds in favor of getting exactly 2 heads are 3/8.
b) To find the odds against getting at most 1 tail, we need to determine the total number of possible outcomes and the number of outcomes where at most 1 tail appears.
Total number of possible outcomes: As mentioned earlier, each flip has two possible outcomes, and we have three flips. So, the total number of possible outcomes is 2^3, which equals 8.
Number of favorable outcomes: To get at most 1 tail, we have the following scenarios: HHH, HHT, HTH, and THH. There are 4 favorable outcomes.
Therefore, the odds against getting at most 1 tail are 4/8, which can be simplified to 1/2.