Probability & Binomial Theorem

A box contains 4 blue markers, 3 red markers, 2 orange markers, and 1 yellow marker. Two markers are removed from a box without replacement. Find P(orange and red). REDUCE ALL FRACTIONS. WRITE YOUR ASNWERS AS N/D WHERE N & D ARE NUMBERS.

(a)  

In a PE class of freshmen and sophomores, 5 of the 15 girls are freshmen, and 6 of the 10 boys are sophomores. What is the probability of selecting a girl or a freshman? REDUCE ALL FRACTIONS. WRITE YOUR ASNWERS AS N/D WHERE N & D ARE NUMBERS.

(a)  

My phone password requires a 4-number code on a 10-number keypad. How many possible codes can I choose if no number can be repeated?

(a)  

How many ways can I arrange the letters in the word "ACCELERATES"?

(a)  

Mrs. Goldstein has 25 students in her class. In how many ways can she randomly choose 4 students from her class?

(a)  

How many types of burritos containing 1 wrapper, 1 protein, 1 vegetable and 1 salsa can be made if there are 2 types of wrappers, 5 types of protein, 4 vegetables, and 3 salsas to choose from?

(a)  

A card is drawn at random from a standard deck of cards. What is the probability of drawing a king or red card? REDUCE ALL FRACTIONS. WRITE YOUR ASNWERS AS N/D WHERE N & D ARE NUMBERS.

(a)  

From a bag containing 6 blue balls and 4 red balls, 3 balls are drawn without replacement. What is the probability that all three balls are the same color? REDUCE ALL FRACTIONS. WRITE YOUR ASNWERS AS N/D WHERE N & D ARE NUMBERS.

(a)  

Two boxes contain purple balls and yellow balls. The first box contains 10 purple balls and 8 yellow balls, and the second box contains 7 purple balls and 4 yellow balls. A ball is drawn at random from each box. What is the probability that both balls are purple? REDUCE ALL FRACTIONS. WRITE YOUR ASNWERS AS N/D WHERE N & D ARE NUMBERS.

(a)  

Tracie wants to buy 7 different-colored Tervis cups, but her mother says she can only purchase 3 or 4 of them. How many different ways can Tracie choose 3 or 4 cups?

(a)