Answered

A fair die and coin are thrown together once
Find the probability of obtaining an even number and a head



Answer :

Answer:

1/4

Step-by-step explanation:

First note that the two experiments result in independent outcomes

The joint probability of two independent events occurring is the product of the individual probabilities

In other words if events A and B are independent,
P(A and B) = P(A) P(B)

Probability of getting an even number:

  • There are a total of 6 outcomes when you toss a die: {1, 2, 3, 4, 5, 6}
  • There are three outcomes resulting in an even number: {2, 4, 6}
  • P(even number) = 3/6 = 1/2

Probability of getting a head

  • There are two possible outcomes when a coin is tossed: {Head, Tail}
  • P(Tail) = 1/2

P(even number on die toss and tail on coin toss)
= P(Even) * P(Head)
= 1/2 * 1/2
= 1/4


Other Questions