You flip a coin four times. What is the probability of getting the specific outcome of all heads instead of tails on each of the four times? a) 0 b) 0.50 c) 0.25 d) 1 e) None of the above To what should the sum of the pro...
In astatistical experiment, the sum of probabilities for all possible outcomes is equal to one. This means, for example, that if an experiment can have three possible outcomes (A, B, and C), then P(A) + P(B) + P(C) = 1. ...
When a random experiment is performed, the set of all the possible results or outcomes of the experiment together constitute the sample space of that random experiment. We can calculate the classical or the prior probabilities of the ev...
What is the overall probability that one of two independent events will happen? The probabilities of the independent events A and B are 0.3 and 0.6 respectively. 1. What is the probability of A or B? 2. What is the probability of A and B? 3. What is ...
Two six-sided dice are rolled, what is the probability that the sum of the two numbers on the dice will be greater than 9? Two six-sided dice are rolled. What is the probability that the sum of the two numbers on the dice will be 3?
It always is greater than or equal to zero, and less than or equal to one. The sum of the probabilities of all outcomes must equal 11. If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities. The probability ...
loss. Note that the same concept extends to deep neural network classifiers. The only difference is that instead of calculatingzzas the weighted sum of the model inputs,z=wTx+bz=wTx+b, we calculate it as the weighted sum of the inputs in the last layer as illustrated in the figure ...
What is an unnormalized probability distribution? Suppose the following probabilities are known: Which of the following values are not valid for probabilities? a. 0.50 b. -0.10 c. 1.10 To what should the sum of the probabilities of all the possible events be equal? a. 0 b. 0.50 c. 1 d...
Two six-sided dice are rolled, what is the probability that the sum of the two numbers on the dice will be greater than 9?Probability and Dices:{eq}\\ {/eq} Probability is defined as the ratio of the total number of favourable cases t...
The first formula is just the sum of the probabilities of the two events. The second formula is the sum of the probabilities of the two events minus the probability that both will occur. Key Takeaways The addition rule for probabilities consists of two rules or formulas, with one that accom...