Probability

There are four cards marked with the numbers $2$2, $5$5, $8$8, and $9$9. They are put in a box. Two cards are selected at random one after the other without replacement to form a two-digit number.

a

Draw a tree diagram to illustrate all the possible outcomes.

b

How many different two-digit numbers can be formed.

c

What is the probability of obtaining a number less than $59$59?

d

What is the probability of obtaining an odd number?

e

What is the probability of obtaining an even number?

f

What is the probability of obtaining a number greater than $90$90?

g

What is the probability that the number formed is divisible by 5?

Easy

Approx 4 minutes

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Investigate situations that involve elements of chance: A calculating probabilities of independent, combined, and conditional events B calculating and interpreting expected values and standard deviations of discrete random variables C applying distributions such as the Poisson, binomial, and normal

Apply probability concepts in solving problems