91影视

1鈥�6 Evaluate the expression. $$P(11,4)$$

A die is rolled. Find the probability of the given event. (a) The number showing is a six. (b) The number showing is an even number. (c) The number showing is greater than 5.

Find the expected value (or expectation) of the games described.? $$ \begin{array}{l}{\text { The game consists of drawing a card from a deck. You win }} \\ {\$ 100 \text { if you draw the ace of spades or lose } \$ 1 \text { if you draw }} \\ {\text { any other card. }}\end{array} $$

How many three-letter 鈥渨ords鈥� (strings of letters) can be formed using the letters WXYZ if repetition of letters (a) is allowed? (b) is not allowed?

Five independent trials of a binomial experiment with probability of success \(p=0.7\) and probability of failure \(q=0.3\) are performed. Find the probability of each event. No successes

A die is rolled. Find the probability of the given event. (a) The number showing is a two or a three. (b) The number showing is an odd number. (c) The number showing is a number divisible by 3.

1鈥�6 Evaluate the expression. $$P(10,5)$$

Eight horses are entered in a race. (a) How many different orders are possible for completing the race? (b) In how many different ways can first, second, and third places be decided? (Assume there is no tie.)

Five independent trials of a binomial experiment with probability of success \(p=0.7\) and probability of failure \(q=0.3\) are performed. Find the probability of each event. All successes

A card is drawn randomly from a standard 52-card deck. Find the probability of the given event. (a) The card drawn is a king. (b) The card drawn is a face card. (c) The card drawn is not a face card.