1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blsea [12.9K]
4 years ago
13

Events X and Y are independent. The probability of X occurring is 1/3 . The probability of Y occurring is 1/2 . What is P(X and

Y)?
a. 1/6
b. 1/3
c.2/3
d.5/6
Mathematics
2 answers:
Step2247 [10]4 years ago
4 0
For independent events X,Y, \mathbb P(X\cap Y)=\mathbb P(X)\times\mathbb P(Y).

So

\mathbb P(X\cap Y)=\dfrac13\times\dfrac12=\dfrac16
lutik1710 [3]4 years ago
4 0

Answer: a. \dfrac{1}{6}

Step-by-step explanation:

Given : Events X and Y are independent.

The probability of X occurring is \dfrac{1}{3}.

The probability of Y occurring is \dfrac{1}{2}.

Since both events are independent, then we have

\text{P(X and Y)}=\text{P(X)}\times \text{P(Y)}\\\\\Rightarrow\ \text{P(X and Y)}=\dfrac{1}{2}\times\dfrac{1}{3}=\dfrac{1}{6}

Hence, \text{P(X and Y)}=\dfrac{1}{6}

Thus , (a.) is the correct option.

You might be interested in
What number is 16% of 44 rounded to the nearest tenth show the work also and thxs
OLEGan [10]
SOLUTION:

16% of 44 = 44 × 16% OR 44 × 16 / 100 OR 44 × 0.16

16% of 44 = 7.04

16% of 44 = 7.0 ( rounded to the nearest tenth )

Hope this helps! :)
Have a lovely day! <3
7 0
3 years ago
Can someone help me fill this out
Gwar [14]

Answer:

Step-by-step explanation:

4 0
3 years ago
Someone please help me!!
mote1985 [20]

Answer:B and E

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Anyone know? I need help it’d be cool if someone gave the answer
photoshop1234 [79]

Answer: 19 units

Step-by-step explanation:

Count from A down then the left until you reach B.

8 0
3 years ago
Pleasee help
Illusion [34]
Hydrosphere

hydro means water
7 0
3 years ago
Other questions:
  • Determine the variables tested in each of the following experiments. If applicable, determine and identify any positive or negat
    14·1 answer
  • HELP ME PLEASE MY LAST DAY TO TURN THIS IN! MARKING BRAINLIEST
    7·1 answer
  • If w 1,-5&gt; and y=&lt;2,3&gt;,find 2w+y
    9·1 answer
  • 11.1/0.01= what is the answer
    11·2 answers
  • Equation: w = 112 + 8t Which input results in an output of 176? What is the output in the ordered pair (4, 144)?
    15·2 answers
  • Question 3
    13·1 answer
  • Jillene spends $240 on a new business the first month. If she spends 24% more each month, approximately how much will she spend
    11·1 answer
  • Plz explain how do you know
    14·2 answers
  • Look at the picture below to help. pls
    8·1 answer
  • Anyone know how to solve 28?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!