# Week 4 Assignment Basic Probability

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Qn1. A football team has enough resources to recruit one player. The players the team is interested in consist of 7 wide receivers, 10 offensive linemen, and 5 tight ends. If the player they recruit is selected at random, what is the probability that the player is a tight end?

Qn2. A bag contains 7 RED beads, 10 BLUE beads, and 3 GREEN beads. If a single bead is picked at random, what is the probability that the bead is RED?

Qn3. A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 4?

Qn4. A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 8?

Qn5. A restaurant offers 4 pasta meals, 5 seafood meals, and 6 burgers for its main courses. If a diner picks a meal at random, what is the probability that the meal selected is seafood?

Qn6. Ronald finished his daily jog and wants a drink. In his refrigerator, there are 2 cans of energy drink, 9 cans of soda, and 11 bottles of water. If Ronald chooses a drink at random, what is the probability that he chooses a bottle of water?

Use the complement rule to find this probability. The complement of this event is the event that the spinner lands on a number that is a multiple of 4. There are 12 multiples of 4 that the spinner could possibly land on, so the probability that the spinner will land on a multiple of 4 is 1250, which simplifies to 625. The probability of the complement is 1−625=1925.

Qn4. Note that there are 6 multiples of 8 in the range 1 to 50, namely 8, 16, 24, 32, 40, 48. So the probability of the spinner landing on one of these multiples is 650. Therefore, by the complement rule, the probability of not landing on a multiple of 8 is 1−650=4450