Question

A bag contains 31 red​ blocks, 47 green​ blocks, 23 yellow​ blocks, and 24 purple blocks. You pick one block from the bag at random. Find the indicated theoretical probability. ​P(yellowyellow or purplepurple​)

Answer 1

0.07072

Explanation:

Red Blocks= 31

Green Blocks= 47

Yellow blocks = 23

Purple blocks= 24

Total= 31+47+23+24= 125

P(Yellow) = 23/125

P(Purple)=24/125

NOTE: AND (X), OR (+)

​P(yellow yellow or purple purple​)

= P(Y and Y) + P(P and P)

=(23/125 X 23/125) + (24/125 X 24/125)

=529/15625 + 576/15625

=1105/15625

=221/3125

=0.07072

Therefore:

Probability of Picking Yellow Yellow or Purple Purple is 0.07072.