a) To find the probability that Makalo gets an odd number with both picks, we multiply the probabilities along the branches that lead to an odd number on both picks:
0.6 * 0.6 = 0.36
So, the probability that Makalo gets an odd number with both picks is 0.36.
b) To find the probability that Makalo gets an even number with both picks, we multiply the probabilities along the branches that lead to an even number on both picks:
0.4 * 0.4 = 0.16
So, the probability that Makalo gets an even number with both picks is 0.16.
c) To find the probability that Makalo gets an odd number on the first pick and an even number on the second, we multiply the probabilities along the branches that lead to an odd number on the first pick and an even number on the second:
0.6 * 0.4 = 0.24
So, the probability that Makalo gets an odd number on the first pick and an even number on the second is 0.24.
d) To find the probability that Makalo gets an odd number and an even number, in either order, we need to calculate the sum of the probabilities from parts a) and c):
0.36 + 0.24 = 0.6
So, the probability that Makalo gets an odd number and an even number, in either order, is 0.6.
Makalo has five cards, numbered 1 to 5. He picks one card at random, replaces that card back in with the others, and then picks a second card.
The tree diagram below shows the probability of Makalo getting an even or an odd number with each pick.
1st pick
Even - 0.4
Even - 0.4
2nd pick
Odd - 0.6
Odd - 0.6
Even - 0.4
Odd - 0.6
Use the tree diagram to find the probability that Makalo:
a) gets an odd number with both picks
b) gets an even number with both picks
c) gets an odd number on the first pick and an even number on the second
d) an odd number and an even number, in either order
1 answer
1 answer