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An experiment consists of flipping a fair coin and rolling a fair die How many possible outcomes have a head and an odd number?
3 of them.
What is the probability of getting exactly 2 heads by flipping 3 coins?
The probability is 0.375
What is the probability of flipping no heads when you flip three identical coins?
The probability of flipping one coin and getting tails is 1/2. In order to find the probability of multiple events occurring, you find the product of all the events. For 3 coins the probability of getting tails 3 times is 1/8 because .5 x .5 x .5 = .125 or 1/8.
How many outcomes do you get from rolling 3 coins?
23 or 8 outcomes. In any experiment with two outcomes, if you do the experiment n times there are 2n outcomes. This about each time you roll the coin have two possible outcomes, H or T. So if you roll it 2 times, you have 4 possible outcomes. HH, HT, TH or TT. Do it one more time and you have 8 outcomes. HHH, HHT, HTH, THH TTT TTH THT HTT Notice there are 1 outcome with 3 heads, 1 with 3 tails 3 with two heads 3 with two tails This pattern follow the binomial theorem. The coefficients of the binomial (H+T)3 are 1 3 3 1. The same numbers as we have above!
If you toss a coin 3 times how many outcomes are there?
3
