Given : The probability that a student has a Visa card (event V) is 0.63. The probability that a student has a MasterCard (event M) is 0.11. The probability that a student has both cards is 0.03.

To find :

a) The probability that a student has either a Visa card or a MasterCard ?

b) In this problem, are V and M independent ?

Solution :

The probability that a student has a visa card(event V) is P(V)= 0.63

The probability that a student has a MasterCard (event M) is P(M)= 0.11

The probability that a student has both cards is $P(V \cap M)=0.03$

a) Probability that a student has either a Visa card or a Master Card is given by,

$P(V \cup M) = P(V) + P(M) - P(V\cap M)$

$P(V \cup M) = 0.63+ 0.11- 0.03$

$P(V \cup M) =0.74- 0.03$

$P(V \cup M) =0.71$

The probability that a student has either a Visa card or a MasterCard is 0.71.

b) Two events, A and B, are independent if $P(A\cap B)=P(A)P(B)$

For V and M to be independent the condition is satisfied,

$P(V\cap M)=P(V)P(M)$

Substitute the values,

$0.03=0.63\times 0.11$

$0.03\neq 0.0693$

So, V and M are not independent.

6 0

3 years ago

Please help QUICK!! TY LOVES!!

irakobra [83]

Yes what he or she said because they are correct.

3 0

3 years ago

Read 2 more answers

What value for the constant, h, in the equation shown below will result in an infinite number of solutions?

natta225 [31]

Using a system of equations, it is found that a value of h = 4 will result in an infinite number of solutions.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

If two equations are equal, the system has infinite solutions.

In this problem, the equations are:

4x - 16 = h(x - 4).

Then:

4(x - 4) = h(x - 4).

h = 4.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

5 0

2 years ago

A card is drawn from a standard deck of 52 cards. What is the theoretical probability, as a decimal, of drawing a 9? Round the d

iragen [17]

There are 4 9's in a deck.

The probability would be 4 / 52 = 0.07692

Rounded to the nearest hundredth = 0.08

5 0

3 years ago