Question

Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.

Required:
a. What are the chances that a monkey and a kangaroo will fall off the bed?
b. What are the chances that a monkey will fall off the bed?
c. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?

Answer 1

a. The chances of a monkey and a kangaroo falling off the bed is 7%. b. The chances of a monkey falling off the bed is 35%. c. The chances of a monkey falling off the bed every night for a week is 0.33%.

Step-by-step explanation:

a. To find the chances that a monkey and a kangaroo will fall off the bed, we need to multiply the probabilities of each event happening. The chance that a monkey falls off is 35% (or 0.35 in decimal form), and the chance that a kangaroo falls off is 20% (or 0.20 in decimal form). Multiplying these probabilities gives us 0.35 x 0.20 = 0.07, or 7%.

b. To find the chances that a monkey will fall off the bed, we can simply use the given probability of 35% (0.35 in decimal form).

c. To find the chances that a monkey falls off the bed every one of the seven nights, we need to multiply the probabilities of each night. The chance that a monkey falls off on any given night is 35% (0.35 in decimal form). Multiplying this probability by itself seven times gives us 0.35^7 = 0.0033, or 0.33%.

Answer 2

Explanation is in a file

Step-by-step explanation: