Question

A computer is used to pick four letters, one after the other, from {P,Q}. Each letter can be picked more than once and has the same chance of being picked.

The possible outcomes for this experiment are shown in the table.

PPPP PPPQ PPQP PQPP
QPPP PPQQ QQPP PQQP
QPPQ QPQP PQPQ QQQP
QQPQ QPQQ PQQQ QQQQ

P( all P or all Q) =

A.0.0250
B.0.1250
C.0.5000
D.0.5625
E.0.6250

Answer 1

Ok so your answer is gonna be B. 0.1250

Answer 2

Answer: B. 0.1250

Explanation:

Given: A computer is used to pick four letters, one after the other, from {P,Q}.

From the given possible outcomes for this experiment, the number of outcomes having all P or all Q (favorable outcomes)= 2

Total number of outcomes = 16

Now, the probability of picking four letters such that they are all P or all Q is given by :-

`\text{P( all P or all Q)}=\frac{\text{favorable outcomes}}{\text{total outcomes}}\\\\=(2)/(16)=0.1250`